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Simplifying 5(2x + 4) = -5(4x + -5) + 2x Reorder the terms: 5(4 + 2x) = -5(4x + -5) + 2x (4 * 5 + 2x * 5) = -5(4x + -5) + 2x (20 + 10x) = -5(4x + -5) + 2x Reorder the terms: 20 + 10x = -5(-5 + 4x) + 2x 20 + 10x = (-5 * -5 + 4x * -5) + 2x 20 + 10x = (25 + -20x) + 2x Combine like terms: -20x + 2x = -18x 20 + 10x = 25 + -18x Solving 20 + 10x = 25 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 20 + 10x + 18x = 25 + -18x + 18x Combine like terms: 10x + 18x = 28x 20 + 28x = 25 + -18x + 18x Combine like terms: -18x + 18x = 0 20 + 28x = 25 + 0 20 + 28x = 25 Add '-20' to each side of the equation. 20 + -20 + 28x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 28x = 25 + -20 28x = 25 + -20 Combine like terms: 25 + -20 = 5 28x = 5 Divide each side by '28'. x = 0.1785714286 Simplifying x = 0.1785714286
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