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Simplifying 2(5x + 2) = 4(5x + 3) + -4 Reorder the terms: 2(2 + 5x) = 4(5x + 3) + -4 (2 * 2 + 5x * 2) = 4(5x + 3) + -4 (4 + 10x) = 4(5x + 3) + -4 Reorder the terms: 4 + 10x = 4(3 + 5x) + -4 4 + 10x = (3 * 4 + 5x * 4) + -4 4 + 10x = (12 + 20x) + -4 Reorder the terms: 4 + 10x = 12 + -4 + 20x Combine like terms: 12 + -4 = 8 4 + 10x = 8 + 20x Solving 4 + 10x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + 10x + -20x = 8 + 20x + -20x Combine like terms: 10x + -20x = -10x 4 + -10x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -10x = 8 + 0 4 + -10x = 8 Add '-4' to each side of the equation. 4 + -4 + -10x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = 8 + -4 -10x = 8 + -4 Combine like terms: 8 + -4 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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