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Simplifying 12 + -7x = 5x + -2x + -48 Reorder the terms: 12 + -7x = -48 + 5x + -2x Combine like terms: 5x + -2x = 3x 12 + -7x = -48 + 3x Solving 12 + -7x = -48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -7x + -3x = -48 + 3x + -3x Combine like terms: -7x + -3x = -10x 12 + -10x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -10x = -48 + 0 12 + -10x = -48 Add '-12' to each side of the equation. 12 + -12 + -10x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -48 + -12 -10x = -48 + -12 Combine like terms: -48 + -12 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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