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Simplifying 12(x + 7) = 4(x + -1) Reorder the terms: 12(7 + x) = 4(x + -1) (7 * 12 + x * 12) = 4(x + -1) (84 + 12x) = 4(x + -1) Reorder the terms: 84 + 12x = 4(-1 + x) 84 + 12x = (-1 * 4 + x * 4) 84 + 12x = (-4 + 4x) Solving 84 + 12x = -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. 84 + 12x + -4x = -4 + 4x + -4x Combine like terms: 12x + -4x = 8x 84 + 8x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 84 + 8x = -4 + 0 84 + 8x = -4 Add '-84' to each side of the equation. 84 + -84 + 8x = -4 + -84 Combine like terms: 84 + -84 = 0 0 + 8x = -4 + -84 8x = -4 + -84 Combine like terms: -4 + -84 = -88 8x = -88 Divide each side by '8'. x = -11 Simplifying x = -11
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