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Simplifying 3(3x + 10) = 5(2x + -9) Reorder the terms: 3(10 + 3x) = 5(2x + -9) (10 * 3 + 3x * 3) = 5(2x + -9) (30 + 9x) = 5(2x + -9) Reorder the terms: 30 + 9x = 5(-9 + 2x) 30 + 9x = (-9 * 5 + 2x * 5) 30 + 9x = (-45 + 10x) Solving 30 + 9x = -45 + 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. 30 + 9x + -10x = -45 + 10x + -10x Combine like terms: 9x + -10x = -1x 30 + -1x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -1x = -45 + 0 30 + -1x = -45 Add '-30' to each side of the equation. 30 + -30 + -1x = -45 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -45 + -30 -1x = -45 + -30 Combine like terms: -45 + -30 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75
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