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Simplifying -10(x + 12) = 8 + 6x Reorder the terms: -10(12 + x) = 8 + 6x (12 * -10 + x * -10) = 8 + 6x (-120 + -10x) = 8 + 6x Solving -120 + -10x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -120 + -10x + -6x = 8 + 6x + -6x Combine like terms: -10x + -6x = -16x -120 + -16x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -120 + -16x = 8 + 0 -120 + -16x = 8 Add '120' to each side of the equation. -120 + 120 + -16x = 8 + 120 Combine like terms: -120 + 120 = 0 0 + -16x = 8 + 120 -16x = 8 + 120 Combine like terms: 8 + 120 = 128 -16x = 128 Divide each side by '-16'. x = -8 Simplifying x = -8
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