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Simplifying 5(x + -4) = 3(3x + 4) Reorder the terms: 5(-4 + x) = 3(3x + 4) (-4 * 5 + x * 5) = 3(3x + 4) (-20 + 5x) = 3(3x + 4) Reorder the terms: -20 + 5x = 3(4 + 3x) -20 + 5x = (4 * 3 + 3x * 3) -20 + 5x = (12 + 9x) Solving -20 + 5x = 12 + 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 = 12 + 9x + -9x Combine like terms: 5x + -9x = -4x -20 + -4x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + -4x = 12 + 0 -20 + -4x = 12 Add '20' to each side of the equation. -20 + 20 + -4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 12 + 20 -4x = 12 + 20 Combine like terms: 12 + 20 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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