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Simplifying 2(2x + 7) = 5(x + -3) Reorder the terms: 2(7 + 2x) = 5(x + -3) (7 * 2 + 2x * 2) = 5(x + -3) (14 + 4x) = 5(x + -3) Reorder the terms: 14 + 4x = 5(-3 + x) 14 + 4x = (-3 * 5 + x * 5) 14 + 4x = (-15 + 5x) Solving 14 + 4x = -15 + 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 + 4x + -5x = -15 + 5x + -5x Combine like terms: 4x + -5x = -1x 14 + -1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -1x = -15 + 0 14 + -1x = -15 Add '-14' to each side of the equation. 14 + -14 + -1x = -15 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -15 + -14 -1x = -15 + -14 Combine like terms: -15 + -14 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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