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Simplifying -1(5 + 12x) + 11x = 2(x + 8) (5 * -1 + 12x * -1) + 11x = 2(x + 8) (-5 + -12x) + 11x = 2(x + 8) Combine like terms: -12x + 11x = -1x -5 + -1x = 2(x + 8) Reorder the terms: -5 + -1x = 2(8 + x) -5 + -1x = (8 * 2 + x * 2) -5 + -1x = (16 + 2x) Solving -5 + -1x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -1x + -2x = 16 + 2x + -2x Combine like terms: -1x + -2x = -3x -5 + -3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -3x = 16 + 0 -5 + -3x = 16 Add '5' to each side of the equation. -5 + 5 + -3x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 16 + 5 -3x = 16 + 5 Combine like terms: 16 + 5 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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