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Simplifying 4(x + 3) = -8(x + 1) Reorder the terms: 4(3 + x) = -8(x + 1) (3 * 4 + x * 4) = -8(x + 1) (12 + 4x) = -8(x + 1) Reorder the terms: 12 + 4x = -8(1 + x) 12 + 4x = (1 * -8 + x * -8) 12 + 4x = (-8 + -8x) Solving 12 + 4x = -8 + -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. 12 + 4x + 8x = -8 + -8x + 8x Combine like terms: 4x + 8x = 12x 12 + 12x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 12x = -8 + 0 12 + 12x = -8 Add '-12' to each side of the equation. 12 + -12 + 12x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -8 + -12 12x = -8 + -12 Combine like terms: -8 + -12 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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