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Simplifying 2x + -4(x + 3) + -1(3x + 7) = 16 + -5(2x + 3) Reorder the terms: 2x + -4(3 + x) + -1(3x + 7) = 16 + -5(2x + 3) 2x + (3 * -4 + x * -4) + -1(3x + 7) = 16 + -5(2x + 3) 2x + (-12 + -4x) + -1(3x + 7) = 16 + -5(2x + 3) Reorder the terms: 2x + -12 + -4x + -1(7 + 3x) = 16 + -5(2x + 3) 2x + -12 + -4x + (7 * -1 + 3x * -1) = 16 + -5(2x + 3) 2x + -12 + -4x + (-7 + -3x) = 16 + -5(2x + 3) Reorder the terms: -12 + -7 + 2x + -4x + -3x = 16 + -5(2x + 3) Combine like terms: -12 + -7 = -19 -19 + 2x + -4x + -3x = 16 + -5(2x + 3) Combine like terms: 2x + -4x = -2x -19 + -2x + -3x = 16 + -5(2x + 3) Combine like terms: -2x + -3x = -5x -19 + -5x = 16 + -5(2x + 3) Reorder the terms: -19 + -5x = 16 + -5(3 + 2x) -19 + -5x = 16 + (3 * -5 + 2x * -5) -19 + -5x = 16 + (-15 + -10x) Combine like terms: 16 + -15 = 1 -19 + -5x = 1 + -10x Solving -19 + -5x = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -19 + -5x + 10x = 1 + -10x + 10x Combine like terms: -5x + 10x = 5x -19 + 5x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -19 + 5x = 1 + 0 -19 + 5x = 1 Add '19' to each side of the equation. -19 + 19 + 5x = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = 1 + 19 5x = 1 + 19 Combine like terms: 1 + 19 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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