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Simplifying 8(2x + 3) = 3(x + -8) Reorder the terms: 8(3 + 2x) = 3(x + -8) (3 * 8 + 2x * 8) = 3(x + -8) (24 + 16x) = 3(x + -8) Reorder the terms: 24 + 16x = 3(-8 + x) 24 + 16x = (-8 * 3 + x * 3) 24 + 16x = (-24 + 3x) Solving 24 + 16x = -24 + 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 + 16x + -3x = -24 + 3x + -3x Combine like terms: 16x + -3x = 13x 24 + 13x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 13x = -24 + 0 24 + 13x = -24 Add '-24' to each side of the equation. 24 + -24 + 13x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = -24 + -24 13x = -24 + -24 Combine like terms: -24 + -24 = -48 13x = -48 Divide each side by '13'. x = -3.692307692 Simplifying x = -3.692307692
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