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Simplifying 5(x + -4) = 52 + -3x Reorder the terms: 5(-4 + x) = 52 + -3x (-4 * 5 + x * 5) = 52 + -3x (-20 + 5x) = 52 + -3x Solving -20 + 5x = 52 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 5x + 3x = 52 + -3x + 3x Combine like terms: 5x + 3x = 8x -20 + 8x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 8x = 52 + 0 -20 + 8x = 52 Add '20' to each side of the equation. -20 + 20 + 8x = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 52 + 20 8x = 52 + 20 Combine like terms: 52 + 20 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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