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Simplifying 5(2x + -4) = 6(8 + -5x) Reorder the terms: 5(-4 + 2x) = 6(8 + -5x) (-4 * 5 + 2x * 5) = 6(8 + -5x) (-20 + 10x) = 6(8 + -5x) -20 + 10x = (8 * 6 + -5x * 6) -20 + 10x = (48 + -30x) Solving -20 + 10x = 48 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -20 + 10x + 30x = 48 + -30x + 30x Combine like terms: 10x + 30x = 40x -20 + 40x = 48 + -30x + 30x Combine like terms: -30x + 30x = 0 -20 + 40x = 48 + 0 -20 + 40x = 48 Add '20' to each side of the equation. -20 + 20 + 40x = 48 + 20 Combine like terms: -20 + 20 = 0 0 + 40x = 48 + 20 40x = 48 + 20 Combine like terms: 48 + 20 = 68 40x = 68 Divide each side by '40'. x = 1.7 Simplifying x = 1.7
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