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Simplifying 4(x + 1) = 4(-1x + 3) Reorder the terms: 4(1 + x) = 4(-1x + 3) (1 * 4 + x * 4) = 4(-1x + 3) (4 + 4x) = 4(-1x + 3) Reorder the terms: 4 + 4x = 4(3 + -1x) 4 + 4x = (3 * 4 + -1x * 4) 4 + 4x = (12 + -4x) Solving 4 + 4x = 12 + -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 = 12 + -4x + 4x Combine like terms: 4x + 4x = 8x 4 + 8x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 8x = 12 + 0 4 + 8x = 12 Add '-4' to each side of the equation. 4 + -4 + 8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 12 + -4 8x = 12 + -4 Combine like terms: 12 + -4 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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