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Simplifying 8(x + 3) = -3(x + -4) Reorder the terms: 8(3 + x) = -3(x + -4) (3 * 8 + x * 8) = -3(x + -4) (24 + 8x) = -3(x + -4) Reorder the terms: 24 + 8x = -3(-4 + x) 24 + 8x = (-4 * -3 + x * -3) 24 + 8x = (12 + -3x) Solving 24 + 8x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 8x + 3x = 12 + -3x + 3x Combine like terms: 8x + 3x = 11x 24 + 11x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 11x = 12 + 0 24 + 11x = 12 Add '-24' to each side of the equation. 24 + -24 + 11x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 12 + -24 11x = 12 + -24 Combine like terms: 12 + -24 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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