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Simplifying 2(12 + -1x) = 8(48 + x) (12 * 2 + -1x * 2) = 8(48 + x) (24 + -2x) = 8(48 + x) 24 + -2x = (48 * 8 + x * 8) 24 + -2x = (384 + 8x) Solving 24 + -2x = 384 + 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. 24 + -2x + -8x = 384 + 8x + -8x Combine like terms: -2x + -8x = -10x 24 + -10x = 384 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -10x = 384 + 0 24 + -10x = 384 Add '-24' to each side of the equation. 24 + -24 + -10x = 384 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 384 + -24 -10x = 384 + -24 Combine like terms: 384 + -24 = 360 -10x = 360 Divide each side by '-10'. x = -36 Simplifying x = -36
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