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Simplifying 3(2x + -5) = 5(3x + -2) Reorder the terms: 3(-5 + 2x) = 5(3x + -2) (-5 * 3 + 2x * 3) = 5(3x + -2) (-15 + 6x) = 5(3x + -2) Reorder the terms: -15 + 6x = 5(-2 + 3x) -15 + 6x = (-2 * 5 + 3x * 5) -15 + 6x = (-10 + 15x) Solving -15 + 6x = -10 + 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 = -10 + 15x + -15x Combine like terms: 6x + -15x = -9x -15 + -9x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -15 + -9x = -10 + 0 -15 + -9x = -10 Add '15' to each side of the equation. -15 + 15 + -9x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = -10 + 15 -9x = -10 + 15 Combine like terms: -10 + 15 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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