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Simplifying 4(x + 1) = 8 + -3(4x + 4) Reorder the terms: 4(1 + x) = 8 + -3(4x + 4) (1 * 4 + x * 4) = 8 + -3(4x + 4) (4 + 4x) = 8 + -3(4x + 4) Reorder the terms: 4 + 4x = 8 + -3(4 + 4x) 4 + 4x = 8 + (4 * -3 + 4x * -3) 4 + 4x = 8 + (-12 + -12x) Combine like terms: 8 + -12 = -4 4 + 4x = -4 + -12x Solving 4 + 4x = -4 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 4x + 12x = -4 + -12x + 12x Combine like terms: 4x + 12x = 16x 4 + 16x = -4 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 16x = -4 + 0 4 + 16x = -4 Add '-4' to each side of the equation. 4 + -4 + 16x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = -4 + -4 16x = -4 + -4 Combine like terms: -4 + -4 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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