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Simplifying -2(4x + -2 + -4) = 5(x + 2) Reorder the terms: -2(-2 + -4 + 4x) = 5(x + 2) Combine like terms: -2 + -4 = -6 -2(-6 + 4x) = 5(x + 2) (-6 * -2 + 4x * -2) = 5(x + 2) (12 + -8x) = 5(x + 2) Reorder the terms: 12 + -8x = 5(2 + x) 12 + -8x = (2 * 5 + x * 5) 12 + -8x = (10 + 5x) Solving 12 + -8x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -8x + -5x = 10 + 5x + -5x Combine like terms: -8x + -5x = -13x 12 + -13x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -13x = 10 + 0 12 + -13x = 10 Add '-12' to each side of the equation. 12 + -12 + -13x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = 10 + -12 -13x = 10 + -12 Combine like terms: 10 + -12 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538
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