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Simplifying 4(x + 1) = 9 + -4(2x + 2) Reorder the terms: 4(1 + x) = 9 + -4(2x + 2) (1 * 4 + x * 4) = 9 + -4(2x + 2) (4 + 4x) = 9 + -4(2x + 2) Reorder the terms: 4 + 4x = 9 + -4(2 + 2x) 4 + 4x = 9 + (2 * -4 + 2x * -4) 4 + 4x = 9 + (-8 + -8x) Combine like terms: 9 + -8 = 1 4 + 4x = 1 + -8x Solving 4 + 4x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + 4x + 8x = 1 + -8x + 8x Combine like terms: 4x + 8x = 12x 4 + 12x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 12x = 1 + 0 4 + 12x = 1 Add '-4' to each side of the equation. 4 + -4 + 12x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 1 + -4 12x = 1 + -4 Combine like terms: 1 + -4 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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