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Simplifying 3(3x + 5) = 2(6x + -3) Reorder the terms: 3(5 + 3x) = 2(6x + -3) (5 * 3 + 3x * 3) = 2(6x + -3) (15 + 9x) = 2(6x + -3) Reorder the terms: 15 + 9x = 2(-3 + 6x) 15 + 9x = (-3 * 2 + 6x * 2) 15 + 9x = (-6 + 12x) Solving 15 + 9x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 9x + -12x = -6 + 12x + -12x Combine like terms: 9x + -12x = -3x 15 + -3x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -3x = -6 + 0 15 + -3x = -6 Add '-15' to each side of the equation. 15 + -15 + -3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -6 + -15 -3x = -6 + -15 Combine like terms: -6 + -15 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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