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Simplifying 4(x + 1) = x + -2 Reorder the terms: 4(1 + x) = x + -2 (1 * 4 + x * 4) = x + -2 (4 + 4x) = x + -2 Reorder the terms: 4 + 4x = -2 + x Solving 4 + 4x = -2 + 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. 4 + 4x + -1x = -2 + x + -1x Combine like terms: 4x + -1x = 3x 4 + 3x = -2 + x + -1x Combine like terms: x + -1x = 0 4 + 3x = -2 + 0 4 + 3x = -2 Add '-4' to each side of the equation. 4 + -4 + 3x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -2 + -4 3x = -2 + -4 Combine like terms: -2 + -4 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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