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Simplifying -10x + -1(12 + 5x) = -12(x + 5) -10x + (12 * -1 + 5x * -1) = -12(x + 5) -10x + (-12 + -5x) = -12(x + 5) Reorder the terms: -12 + -10x + -5x = -12(x + 5) Combine like terms: -10x + -5x = -15x -12 + -15x = -12(x + 5) Reorder the terms: -12 + -15x = -12(5 + x) -12 + -15x = (5 * -12 + x * -12) -12 + -15x = (-60 + -12x) Solving -12 + -15x = -60 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + -15x + 12x = -60 + -12x + 12x Combine like terms: -15x + 12x = -3x -12 + -3x = -60 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + -3x = -60 + 0 -12 + -3x = -60 Add '12' to each side of the equation. -12 + 12 + -3x = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -60 + 12 -3x = -60 + 12 Combine like terms: -60 + 12 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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