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Simplifying 2(5x + -4) + -1(3x + 2) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) Reorder the terms: 2(-4 + 5x) + -1(3x + 2) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) (-4 * 2 + 5x * 2) + -1(3x + 2) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) (-8 + 10x) + -1(3x + 2) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) Reorder the terms: -8 + 10x + -1(2 + 3x) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) -8 + 10x + (2 * -1 + 3x * -1) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) -8 + 10x + (-2 + -3x) + 11 = -3(-5 + 10) + 3x + -6(4x + -3) Reorder the terms: -8 + -2 + 11 + 10x + -3x = -3(-5 + 10) + 3x + -6(4x + -3) Combine like terms: -8 + -2 = -10 -10 + 11 + 10x + -3x = -3(-5 + 10) + 3x + -6(4x + -3) Combine like terms: -10 + 11 = 1 1 + 10x + -3x = -3(-5 + 10) + 3x + -6(4x + -3) Combine like terms: 10x + -3x = 7x 1 + 7x = -3(-5 + 10) + 3x + -6(4x + -3) Combine like terms: -5 + 10 = 5 1 + 7x = -3(5) + 3x + -6(4x + -3) Multiply -3 * 5 1 + 7x = -15 + 3x + -6(4x + -3) Reorder the terms: 1 + 7x = -15 + 3x + -6(-3 + 4x) 1 + 7x = -15 + 3x + (-3 * -6 + 4x * -6) 1 + 7x = -15 + 3x + (18 + -24x) Reorder the terms: 1 + 7x = -15 + 18 + 3x + -24x Combine like terms: -15 + 18 = 3 1 + 7x = 3 + 3x + -24x Combine like terms: 3x + -24x = -21x 1 + 7x = 3 + -21x Solving 1 + 7x = 3 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 1 + 7x + 21x = 3 + -21x + 21x Combine like terms: 7x + 21x = 28x 1 + 28x = 3 + -21x + 21x Combine like terms: -21x + 21x = 0 1 + 28x = 3 + 0 1 + 28x = 3 Add '-1' to each side of the equation. 1 + -1 + 28x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 28x = 3 + -1 28x = 3 + -1 Combine like terms: 3 + -1 = 2 28x = 2 Divide each side by '28'. x = 0.07142857143 Simplifying x = 0.07142857143
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