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Simplifying 2(x + 1) = 7(x + -2) + -14 Reorder the terms: 2(1 + x) = 7(x + -2) + -14 (1 * 2 + x * 2) = 7(x + -2) + -14 (2 + 2x) = 7(x + -2) + -14 Reorder the terms: 2 + 2x = 7(-2 + x) + -14 2 + 2x = (-2 * 7 + x * 7) + -14 2 + 2x = (-14 + 7x) + -14 Reorder the terms: 2 + 2x = -14 + -14 + 7x Combine like terms: -14 + -14 = -28 2 + 2x = -28 + 7x Solving 2 + 2x = -28 + 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. 2 + 2x + -7x = -28 + 7x + -7x Combine like terms: 2x + -7x = -5x 2 + -5x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x = -28 + 0 2 + -5x = -28 Add '-2' to each side of the equation. 2 + -2 + -5x = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -28 + -2 -5x = -28 + -2 Combine like terms: -28 + -2 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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