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Simplifying 5(x + -4) = 3(3x + -8) Reorder the terms: 5(-4 + x) = 3(3x + -8) (-4 * 5 + x * 5) = 3(3x + -8) (-20 + 5x) = 3(3x + -8) Reorder the terms: -20 + 5x = 3(-8 + 3x) -20 + 5x = (-8 * 3 + 3x * 3) -20 + 5x = (-24 + 9x) Solving -20 + 5x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 5x + -9x = -24 + 9x + -9x Combine like terms: 5x + -9x = -4x -20 + -4x = -24 + 9x + -9x Combine like terms: 9x + -9x = 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 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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