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Simplifying -4(x + 1) = 4(x + 2) Reorder the terms: -4(1 + x) = 4(x + 2) (1 * -4 + x * -4) = 4(x + 2) (-4 + -4x) = 4(x + 2) Reorder the terms: -4 + -4x = 4(2 + x) -4 + -4x = (2 * 4 + x * 4) -4 + -4x = (8 + 4x) Solving -4 + -4x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -4x + -4x = 8 + 4x + -4x Combine like terms: -4x + -4x = -8x -4 + -8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -8x = 8 + 0 -4 + -8x = 8 Add '4' to each side of the equation. -4 + 4 + -8x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 8 + 4 -8x = 8 + 4 Combine like terms: 8 + 4 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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