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Simplifying x + 12 = 2x + -42 Reorder the terms: 12 + x = 2x + -42 Reorder the terms: 12 + x = -42 + 2x Solving 12 + x = -42 + 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. 12 + x + -2x = -42 + 2x + -2x Combine like terms: x + -2x = -1x 12 + -1x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -1x = -42 + 0 12 + -1x = -42 Add '-12' to each side of the equation. 12 + -12 + -1x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -42 + -12 -1x = -42 + -12 Combine like terms: -42 + -12 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54
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