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Simplifying 3(x + 1) = 7(x + -1) + -14 Reorder the terms: 3(1 + x) = 7(x + -1) + -14 (1 * 3 + x * 3) = 7(x + -1) + -14 (3 + 3x) = 7(x + -1) + -14 Reorder the terms: 3 + 3x = 7(-1 + x) + -14 3 + 3x = (-1 * 7 + x * 7) + -14 3 + 3x = (-7 + 7x) + -14 Reorder the terms: 3 + 3x = -7 + -14 + 7x Combine like terms: -7 + -14 = -21 3 + 3x = -21 + 7x Solving 3 + 3x = -21 + 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. 3 + 3x + -7x = -21 + 7x + -7x Combine like terms: 3x + -7x = -4x 3 + -4x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -4x = -21 + 0 3 + -4x = -21 Add '-3' to each side of the equation. 3 + -3 + -4x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -21 + -3 -4x = -21 + -3 Combine like terms: -21 + -3 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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