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Simplifying 8(x + 3) = 2(5x + -8) Reorder the terms: 8(3 + x) = 2(5x + -8) (3 * 8 + x * 8) = 2(5x + -8) (24 + 8x) = 2(5x + -8) Reorder the terms: 24 + 8x = 2(-8 + 5x) 24 + 8x = (-8 * 2 + 5x * 2) 24 + 8x = (-16 + 10x) Solving 24 + 8x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 8x + -10x = -16 + 10x + -10x Combine like terms: 8x + -10x = -2x 24 + -2x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -2x = -16 + 0 24 + -2x = -16 Add '-24' to each side of the equation. 24 + -24 + -2x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -16 + -24 -2x = -16 + -24 Combine like terms: -16 + -24 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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