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Simplifying 12x + 7(1 + -1x) = 4(x + 1) 12x + (1 * 7 + -1x * 7) = 4(x + 1) 12x + (7 + -7x) = 4(x + 1) Reorder the terms: 7 + 12x + -7x = 4(x + 1) Combine like terms: 12x + -7x = 5x 7 + 5x = 4(x + 1) Reorder the terms: 7 + 5x = 4(1 + x) 7 + 5x = (1 * 4 + x * 4) 7 + 5x = (4 + 4x) Solving 7 + 5x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x 7 + 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 1x = 4 + 0 7 + 1x = 4 Add '-7' to each side of the equation. 7 + -7 + 1x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 4 + -7 1x = 4 + -7 Combine like terms: 4 + -7 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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