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Simplifying -4(x + -2) = x + 1 Reorder the terms: -4(-2 + x) = x + 1 (-2 * -4 + x * -4) = x + 1 (8 + -4x) = x + 1 Reorder the terms: 8 + -4x = 1 + x Solving 8 + -4x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -4x + -1x = 1 + x + -1x Combine like terms: -4x + -1x = -5x 8 + -5x = 1 + x + -1x Combine like terms: x + -1x = 0 8 + -5x = 1 + 0 8 + -5x = 1 Add '-8' to each side of the equation. 8 + -8 + -5x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 1 + -8 -5x = 1 + -8 Combine like terms: 1 + -8 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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