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Simplifying 5(x + -4) = -3(x + 6) Reorder the terms: 5(-4 + x) = -3(x + 6) (-4 * 5 + x * 5) = -3(x + 6) (-20 + 5x) = -3(x + 6) Reorder the terms: -20 + 5x = -3(6 + x) -20 + 5x = (6 * -3 + x * -3) -20 + 5x = (-18 + -3x) Solving -20 + 5x = -18 + -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 = -18 + -3x + 3x Combine like terms: 5x + 3x = 8x -20 + 8x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 8x = -18 + 0 -20 + 8x = -18 Add '20' to each side of the equation. -20 + 20 + 8x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = -18 + 20 8x = -18 + 20 Combine like terms: -18 + 20 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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