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Simplifying (5x + -2) * 4 = 2(x + 1) Reorder the terms: (-2 + 5x) * 4 = 2(x + 1) Reorder the terms for easier multiplication: 4(-2 + 5x) = 2(x + 1) (-2 * 4 + 5x * 4) = 2(x + 1) (-8 + 20x) = 2(x + 1) Reorder the terms: -8 + 20x = 2(1 + x) -8 + 20x = (1 * 2 + x * 2) -8 + 20x = (2 + 2x) Solving -8 + 20x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 20x + -2x = 2 + 2x + -2x Combine like terms: 20x + -2x = 18x -8 + 18x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 18x = 2 + 0 -8 + 18x = 2 Add '8' to each side of the equation. -8 + 8 + 18x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 2 + 8 18x = 2 + 8 Combine like terms: 2 + 8 = 10 18x = 10 Divide each side by '18'. x = 0.5555555556 Simplifying x = 0.5555555556
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