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Simplifying 12 + -2x = 7x + -42 Reorder the terms: 12 + -2x = -42 + 7x Solving 12 + -2x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -2x + -7x = -42 + 7x + -7x Combine like terms: -2x + -7x = -9x 12 + -9x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -9x = -42 + 0 12 + -9x = -42 Add '-12' to each side of the equation. 12 + -12 + -9x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -42 + -12 -9x = -42 + -12 Combine like terms: -42 + -12 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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