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Simplifying -10(x + 1) + 4(4x + -3) = 5(x + -5) + 12 Reorder the terms: -10(1 + x) + 4(4x + -3) = 5(x + -5) + 12 (1 * -10 + x * -10) + 4(4x + -3) = 5(x + -5) + 12 (-10 + -10x) + 4(4x + -3) = 5(x + -5) + 12 Reorder the terms: -10 + -10x + 4(-3 + 4x) = 5(x + -5) + 12 -10 + -10x + (-3 * 4 + 4x * 4) = 5(x + -5) + 12 -10 + -10x + (-12 + 16x) = 5(x + -5) + 12 Reorder the terms: -10 + -12 + -10x + 16x = 5(x + -5) + 12 Combine like terms: -10 + -12 = -22 -22 + -10x + 16x = 5(x + -5) + 12 Combine like terms: -10x + 16x = 6x -22 + 6x = 5(x + -5) + 12 Reorder the terms: -22 + 6x = 5(-5 + x) + 12 -22 + 6x = (-5 * 5 + x * 5) + 12 -22 + 6x = (-25 + 5x) + 12 Reorder the terms: -22 + 6x = -25 + 12 + 5x Combine like terms: -25 + 12 = -13 -22 + 6x = -13 + 5x Solving -22 + 6x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + 6x + -5x = -13 + 5x + -5x Combine like terms: 6x + -5x = 1x -22 + 1x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 1x = -13 + 0 -22 + 1x = -13 Add '22' to each side of the equation. -22 + 22 + 1x = -13 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -13 + 22 1x = -13 + 22 Combine like terms: -13 + 22 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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