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Simplifying 3(4x + -8) = 5(3x + 9) Reorder the terms: 3(-8 + 4x) = 5(3x + 9) (-8 * 3 + 4x * 3) = 5(3x + 9) (-24 + 12x) = 5(3x + 9) Reorder the terms: -24 + 12x = 5(9 + 3x) -24 + 12x = (9 * 5 + 3x * 5) -24 + 12x = (45 + 15x) Solving -24 + 12x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + 12x + -15x = 45 + 15x + -15x Combine like terms: 12x + -15x = -3x -24 + -3x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + -3x = 45 + 0 -24 + -3x = 45 Add '24' to each side of the equation. -24 + 24 + -3x = 45 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 45 + 24 -3x = 45 + 24 Combine like terms: 45 + 24 = 69 -3x = 69 Divide each side by '-3'. x = -23 Simplifying x = -23
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