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Simplifying -12x + -48 = -2x + 102 Reorder the terms: -48 + -12x = -2x + 102 Reorder the terms: -48 + -12x = 102 + -2x Solving -48 + -12x = 102 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -48 + -12x + 2x = 102 + -2x + 2x Combine like terms: -12x + 2x = -10x -48 + -10x = 102 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + -10x = 102 + 0 -48 + -10x = 102 Add '48' to each side of the equation. -48 + 48 + -10x = 102 + 48 Combine like terms: -48 + 48 = 0 0 + -10x = 102 + 48 -10x = 102 + 48 Combine like terms: 102 + 48 = 150 -10x = 150 Divide each side by '-10'. x = -15 Simplifying x = -15
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