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Simplifying -1(x + -4) = 2x + 1 Reorder the terms: -1(-4 + x) = 2x + 1 (-4 * -1 + x * -1) = 2x + 1 (4 + -1x) = 2x + 1 Reorder the terms: 4 + -1x = 1 + 2x Solving 4 + -1x = 1 + 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. 4 + -1x + -2x = 1 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = 1 + 0 4 + -3x = 1 Add '-4' to each side of the equation. 4 + -4 + -3x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 1 + -4 -3x = 1 + -4 Combine like terms: 1 + -4 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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