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Simplifying 3(2x + -3) = 5(3x + -10) Reorder the terms: 3(-3 + 2x) = 5(3x + -10) (-3 * 3 + 2x * 3) = 5(3x + -10) (-9 + 6x) = 5(3x + -10) Reorder the terms: -9 + 6x = 5(-10 + 3x) -9 + 6x = (-10 * 5 + 3x * 5) -9 + 6x = (-50 + 15x) Solving -9 + 6x = -50 + 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. -9 + 6x + -15x = -50 + 15x + -15x Combine like terms: 6x + -15x = -9x -9 + -9x = -50 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + -9x = -50 + 0 -9 + -9x = -50 Add '9' to each side of the equation. -9 + 9 + -9x = -50 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = -50 + 9 -9x = -50 + 9 Combine like terms: -50 + 9 = -41 -9x = -41 Divide each side by '-9'. x = 4.555555556 Simplifying x = 4.555555556
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