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Simplifying 4(x + -7) + 2(5x + 1) = 30 Reorder the terms: 4(-7 + x) + 2(5x + 1) = 30 (-7 * 4 + x * 4) + 2(5x + 1) = 30 (-28 + 4x) + 2(5x + 1) = 30 Reorder the terms: -28 + 4x + 2(1 + 5x) = 30 -28 + 4x + (1 * 2 + 5x * 2) = 30 -28 + 4x + (2 + 10x) = 30 Reorder the terms: -28 + 2 + 4x + 10x = 30 Combine like terms: -28 + 2 = -26 -26 + 4x + 10x = 30 Combine like terms: 4x + 10x = 14x -26 + 14x = 30 Solving -26 + 14x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 14x = 30 + 26 Combine like terms: -26 + 26 = 0 0 + 14x = 30 + 26 14x = 30 + 26 Combine like terms: 30 + 26 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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