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Simplifying (4 + 2) + -2(2 + -4x) = 5(x + 4) + -2 Combine like terms: 4 + 2 = 6 (6) + -2(2 + -4x) = 5(x + 4) + -2 6 + -2(2 + -4x) = 5(x + 4) + -2 6 + (2 * -2 + -4x * -2) = 5(x + 4) + -2 6 + (-4 + 8x) = 5(x + 4) + -2 Combine like terms: 6 + -4 = 2 2 + 8x = 5(x + 4) + -2 Reorder the terms: 2 + 8x = 5(4 + x) + -2 2 + 8x = (4 * 5 + x * 5) + -2 2 + 8x = (20 + 5x) + -2 Reorder the terms: 2 + 8x = 20 + -2 + 5x Combine like terms: 20 + -2 = 18 2 + 8x = 18 + 5x Solving 2 + 8x = 18 + 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. 2 + 8x + -5x = 18 + 5x + -5x Combine like terms: 8x + -5x = 3x 2 + 3x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 3x = 18 + 0 2 + 3x = 18 Add '-2' to each side of the equation. 2 + -2 + 3x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 18 + -2 3x = 18 + -2 Combine like terms: 18 + -2 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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