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Simplifying 3(2x + 5) = 5(3x + -7) Reorder the terms: 3(5 + 2x) = 5(3x + -7) (5 * 3 + 2x * 3) = 5(3x + -7) (15 + 6x) = 5(3x + -7) Reorder the terms: 15 + 6x = 5(-7 + 3x) 15 + 6x = (-7 * 5 + 3x * 5) 15 + 6x = (-35 + 15x) Solving 15 + 6x = -35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + 6x + -15x = -35 + 15x + -15x Combine like terms: 6x + -15x = -9x 15 + -9x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -9x = -35 + 0 15 + -9x = -35 Add '-15' to each side of the equation. 15 + -15 + -9x = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -35 + -15 -9x = -35 + -15 Combine like terms: -35 + -15 = -50 -9x = -50 Divide each side by '-9'. x = 5.555555556 Simplifying x = 5.555555556
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