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Simplifying 2(3x + 7) = 5(x + -9) Reorder the terms: 2(7 + 3x) = 5(x + -9) (7 * 2 + 3x * 2) = 5(x + -9) (14 + 6x) = 5(x + -9) Reorder the terms: 14 + 6x = 5(-9 + x) 14 + 6x = (-9 * 5 + x * 5) 14 + 6x = (-45 + 5x) Solving 14 + 6x = -45 + 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 + 6x + -5x = -45 + 5x + -5x Combine like terms: 6x + -5x = 1x 14 + 1x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 1x = -45 + 0 14 + 1x = -45 Add '-14' to each side of the equation. 14 + -14 + 1x = -45 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -45 + -14 1x = -45 + -14 Combine like terms: -45 + -14 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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