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Simplifying 2(4x + 4) = -5(3x + -2) Reorder the terms: 2(4 + 4x) = -5(3x + -2) (4 * 2 + 4x * 2) = -5(3x + -2) (8 + 8x) = -5(3x + -2) Reorder the terms: 8 + 8x = -5(-2 + 3x) 8 + 8x = (-2 * -5 + 3x * -5) 8 + 8x = (10 + -15x) Solving 8 + 8x = 10 + -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 + 8x + 15x = 10 + -15x + 15x Combine like terms: 8x + 15x = 23x 8 + 23x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 23x = 10 + 0 8 + 23x = 10 Add '-8' to each side of the equation. 8 + -8 + 23x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 23x = 10 + -8 23x = 10 + -8 Combine like terms: 10 + -8 = 2 23x = 2 Divide each side by '23'. x = 0.08695652174 Simplifying x = 0.08695652174
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