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Simplifying 1 + -5x = -2(x + 4) Reorder the terms: 1 + -5x = -2(4 + x) 1 + -5x = (4 * -2 + x * -2) 1 + -5x = (-8 + -2x) Solving 1 + -5x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -5x + 2x = -8 + -2x + 2x Combine like terms: -5x + 2x = -3x 1 + -3x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -3x = -8 + 0 1 + -3x = -8 Add '-1' to each side of the equation. 1 + -1 + -3x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -8 + -1 -3x = -8 + -1 Combine like terms: -8 + -1 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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