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Simplifying 5(3x + -4) = 32 + 2x Reorder the terms: 5(-4 + 3x) = 32 + 2x (-4 * 5 + 3x * 5) = 32 + 2x (-20 + 15x) = 32 + 2x Solving -20 + 15x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 15x + -2x = 32 + 2x + -2x Combine like terms: 15x + -2x = 13x -20 + 13x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 13x = 32 + 0 -20 + 13x = 32 Add '20' to each side of the equation. -20 + 20 + 13x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 32 + 20 13x = 32 + 20 Combine like terms: 32 + 20 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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