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Simplifying 12 + 5x = 7(x + -1) Reorder the terms: 12 + 5x = 7(-1 + x) 12 + 5x = (-1 * 7 + x * 7) 12 + 5x = (-7 + 7x) Solving 12 + 5x = -7 + 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 + 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x 12 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -2x = -7 + 0 12 + -2x = -7 Add '-12' to each side of the equation. 12 + -12 + -2x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -7 + -12 -2x = -7 + -12 Combine like terms: -7 + -12 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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