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Simplifying 12 + -2x = -8(-2x + 3) Reorder the terms: 12 + -2x = -8(3 + -2x) 12 + -2x = (3 * -8 + -2x * -8) 12 + -2x = (-24 + 16x) Solving 12 + -2x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + -2x + -16x = -24 + 16x + -16x Combine like terms: -2x + -16x = -18x 12 + -18x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -18x = -24 + 0 12 + -18x = -24 Add '-12' to each side of the equation. 12 + -12 + -18x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -24 + -12 -18x = -24 + -12 Combine like terms: -24 + -12 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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