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Simplifying 2(x + 7) = 5x + -13 Reorder the terms: 2(7 + x) = 5x + -13 (7 * 2 + x * 2) = 5x + -13 (14 + 2x) = 5x + -13 Reorder the terms: 14 + 2x = -13 + 5x Solving 14 + 2x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 2x + -5x = -13 + 5x + -5x Combine like terms: 2x + -5x = -3x 14 + -3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -3x = -13 + 0 14 + -3x = -13 Add '-14' to each side of the equation. 14 + -14 + -3x = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -13 + -14 -3x = -13 + -14 Combine like terms: -13 + -14 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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