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Simplifying 3(2x + 2) = -5(3x + -4) + -2x Reorder the terms: 3(2 + 2x) = -5(3x + -4) + -2x (2 * 3 + 2x * 3) = -5(3x + -4) + -2x (6 + 6x) = -5(3x + -4) + -2x Reorder the terms: 6 + 6x = -5(-4 + 3x) + -2x 6 + 6x = (-4 * -5 + 3x * -5) + -2x 6 + 6x = (20 + -15x) + -2x Combine like terms: -15x + -2x = -17x 6 + 6x = 20 + -17x Solving 6 + 6x = 20 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 6 + 6x + 17x = 20 + -17x + 17x Combine like terms: 6x + 17x = 23x 6 + 23x = 20 + -17x + 17x Combine like terms: -17x + 17x = 0 6 + 23x = 20 + 0 6 + 23x = 20 Add '-6' to each side of the equation. 6 + -6 + 23x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 23x = 20 + -6 23x = 20 + -6 Combine like terms: 20 + -6 = 14 23x = 14 Divide each side by '23'. x = 0.6086956522 Simplifying x = 0.6086956522
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