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Simplifying 2(2x + 4) = -3(3x + -3) Reorder the terms: 2(4 + 2x) = -3(3x + -3) (4 * 2 + 2x * 2) = -3(3x + -3) (8 + 4x) = -3(3x + -3) Reorder the terms: 8 + 4x = -3(-3 + 3x) 8 + 4x = (-3 * -3 + 3x * -3) 8 + 4x = (9 + -9x) Solving 8 + 4x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 4x + 9x = 9 + -9x + 9x Combine like terms: 4x + 9x = 13x 8 + 13x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 13x = 9 + 0 8 + 13x = 9 Add '-8' to each side of the equation. 8 + -8 + 13x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 9 + -8 13x = 9 + -8 Combine like terms: 9 + -8 = 1 13x = 1 Divide each side by '13'. x = 0.07692307692 Simplifying x = 0.07692307692
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