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Simplifying 4(5x + -7) = 2(5x + 1) Reorder the terms: 4(-7 + 5x) = 2(5x + 1) (-7 * 4 + 5x * 4) = 2(5x + 1) (-28 + 20x) = 2(5x + 1) Reorder the terms: -28 + 20x = 2(1 + 5x) -28 + 20x = (1 * 2 + 5x * 2) -28 + 20x = (2 + 10x) Solving -28 + 20x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28 + 20x + -10x = 2 + 10x + -10x Combine like terms: 20x + -10x = 10x -28 + 10x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -28 + 10x = 2 + 0 -28 + 10x = 2 Add '28' to each side of the equation. -28 + 28 + 10x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 2 + 28 10x = 2 + 28 Combine like terms: 2 + 28 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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