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Simplifying 5 + -2(x + -4) = 5(1 + -2x) Reorder the terms: 5 + -2(-4 + x) = 5(1 + -2x) 5 + (-4 * -2 + x * -2) = 5(1 + -2x) 5 + (8 + -2x) = 5(1 + -2x) Combine like terms: 5 + 8 = 13 13 + -2x = 5(1 + -2x) 13 + -2x = (1 * 5 + -2x * 5) 13 + -2x = (5 + -10x) Solving 13 + -2x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 13 + -2x + 10x = 5 + -10x + 10x Combine like terms: -2x + 10x = 8x 13 + 8x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 8x = 5 + 0 13 + 8x = 5 Add '-13' to each side of the equation. 13 + -13 + 8x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 5 + -13 8x = 5 + -13 Combine like terms: 5 + -13 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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