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Simplifying 10(x + -4) + -7(4 + -1x) + -19 = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x Reorder the terms: 10(-4 + x) + -7(4 + -1x) + -19 = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x (-4 * 10 + x * 10) + -7(4 + -1x) + -19 = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x (-40 + 10x) + -7(4 + -1x) + -19 = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x -40 + 10x + (4 * -7 + -1x * -7) + -19 = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x -40 + 10x + (-28 + 7x) + -19 = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x Reorder the terms: -40 + -28 + -19 + 10x + 7x = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x Combine like terms: -40 + -28 = -68 -68 + -19 + 10x + 7x = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x Combine like terms: -68 + -19 = -87 -87 + 10x + 7x = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x Combine like terms: 10x + 7x = 17x -87 + 17x = 3x + -1(4x + 8) + -5(2x + -7) + 11 + -4x Reorder the terms: -87 + 17x = 3x + -1(8 + 4x) + -5(2x + -7) + 11 + -4x -87 + 17x = 3x + (8 * -1 + 4x * -1) + -5(2x + -7) + 11 + -4x -87 + 17x = 3x + (-8 + -4x) + -5(2x + -7) + 11 + -4x Reorder the terms: -87 + 17x = 3x + -8 + -4x + -5(-7 + 2x) + 11 + -4x -87 + 17x = 3x + -8 + -4x + (-7 * -5 + 2x * -5) + 11 + -4x -87 + 17x = 3x + -8 + -4x + (35 + -10x) + 11 + -4x Reorder the terms: -87 + 17x = -8 + 35 + 11 + 3x + -4x + -10x + -4x Combine like terms: -8 + 35 = 27 -87 + 17x = 27 + 11 + 3x + -4x + -10x + -4x Combine like terms: 27 + 11 = 38 -87 + 17x = 38 + 3x + -4x + -10x + -4x Combine like terms: 3x + -4x = -1x -87 + 17x = 38 + -1x + -10x + -4x Combine like terms: -1x + -10x = -11x -87 + 17x = 38 + -11x + -4x Combine like terms: -11x + -4x = -15x -87 + 17x = 38 + -15x Solving -87 + 17x = 38 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -87 + 17x + 15x = 38 + -15x + 15x Combine like terms: 17x + 15x = 32x -87 + 32x = 38 + -15x + 15x Combine like terms: -15x + 15x = 0 -87 + 32x = 38 + 0 -87 + 32x = 38 Add '87' to each side of the equation. -87 + 87 + 32x = 38 + 87 Combine like terms: -87 + 87 = 0 0 + 32x = 38 + 87 32x = 38 + 87 Combine like terms: 38 + 87 = 125 32x = 125 Divide each side by '32'. x = 3.90625 Simplifying x = 3.90625
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