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Simplifying 12 + -6x = 2(5x + -2) Reorder the terms: 12 + -6x = 2(-2 + 5x) 12 + -6x = (-2 * 2 + 5x * 2) 12 + -6x = (-4 + 10x) Solving 12 + -6x = -4 + 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. 12 + -6x + -10x = -4 + 10x + -10x Combine like terms: -6x + -10x = -16x 12 + -16x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -16x = -4 + 0 12 + -16x = -4 Add '-12' to each side of the equation. 12 + -12 + -16x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = -4 + -12 -16x = -4 + -12 Combine like terms: -4 + -12 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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