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Simplifying 2(3x + 4) = -5(3x + -3) Reorder the terms: 2(4 + 3x) = -5(3x + -3) (4 * 2 + 3x * 2) = -5(3x + -3) (8 + 6x) = -5(3x + -3) Reorder the terms: 8 + 6x = -5(-3 + 3x) 8 + 6x = (-3 * -5 + 3x * -5) 8 + 6x = (15 + -15x) Solving 8 + 6x = 15 + -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. 8 + 6x + 15x = 15 + -15x + 15x Combine like terms: 6x + 15x = 21x 8 + 21x = 15 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 21x = 15 + 0 8 + 21x = 15 Add '-8' to each side of the equation. 8 + -8 + 21x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 21x = 15 + -8 21x = 15 + -8 Combine like terms: 15 + -8 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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