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Simplifying -5(4x + -2) + 8x = 3(x + 5) Reorder the terms: -5(-2 + 4x) + 8x = 3(x + 5) (-2 * -5 + 4x * -5) + 8x = 3(x + 5) (10 + -20x) + 8x = 3(x + 5) Combine like terms: -20x + 8x = -12x 10 + -12x = 3(x + 5) Reorder the terms: 10 + -12x = 3(5 + x) 10 + -12x = (5 * 3 + x * 3) 10 + -12x = (15 + 3x) Solving 10 + -12x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -12x + -3x = 15 + 3x + -3x Combine like terms: -12x + -3x = -15x 10 + -15x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -15x = 15 + 0 10 + -15x = 15 Add '-10' to each side of the equation. 10 + -10 + -15x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -15x = 15 + -10 -15x = 15 + -10 Combine like terms: 15 + -10 = 5 -15x = 5 Divide each side by '-15'. x = -0.3333333333 Simplifying x = -0.3333333333
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