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Simplifying 4(2x + 5) = 3(4x + -8) Reorder the terms: 4(5 + 2x) = 3(4x + -8) (5 * 4 + 2x * 4) = 3(4x + -8) (20 + 8x) = 3(4x + -8) Reorder the terms: 20 + 8x = 3(-8 + 4x) 20 + 8x = (-8 * 3 + 4x * 3) 20 + 8x = (-24 + 12x) Solving 20 + 8x = -24 + 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. 20 + 8x + -12x = -24 + 12x + -12x Combine like terms: 8x + -12x = -4x 20 + -4x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -4x = -24 + 0 20 + -4x = -24 Add '-20' to each side of the equation. 20 + -20 + -4x = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -24 + -20 -4x = -24 + -20 Combine like terms: -24 + -20 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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