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Simplifying 2(3x + 9) = 5(2x + -10) Reorder the terms: 2(9 + 3x) = 5(2x + -10) (9 * 2 + 3x * 2) = 5(2x + -10) (18 + 6x) = 5(2x + -10) Reorder the terms: 18 + 6x = 5(-10 + 2x) 18 + 6x = (-10 * 5 + 2x * 5) 18 + 6x = (-50 + 10x) Solving 18 + 6x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 6x + -10x = -50 + 10x + -10x Combine like terms: 6x + -10x = -4x 18 + -4x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -4x = -50 + 0 18 + -4x = -50 Add '-18' to each side of the equation. 18 + -18 + -4x = -50 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = -50 + -18 -4x = -50 + -18 Combine like terms: -50 + -18 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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