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Simplifying 12 + -2x = 8(4 + x) 12 + -2x = (4 * 8 + x * 8) 12 + -2x = (32 + 8x) Solving 12 + -2x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -2x + -8x = 32 + 8x + -8x Combine like terms: -2x + -8x = -10x 12 + -10x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -10x = 32 + 0 12 + -10x = 32 Add '-12' to each side of the equation. 12 + -12 + -10x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 32 + -12 -10x = 32 + -12 Combine like terms: 32 + -12 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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