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Simplifying 2(5x + -7) + -1(3 + -4x) = 53 Reorder the terms: 2(-7 + 5x) + -1(3 + -4x) = 53 (-7 * 2 + 5x * 2) + -1(3 + -4x) = 53 (-14 + 10x) + -1(3 + -4x) = 53 -14 + 10x + (3 * -1 + -4x * -1) = 53 -14 + 10x + (-3 + 4x) = 53 Reorder the terms: -14 + -3 + 10x + 4x = 53 Combine like terms: -14 + -3 = -17 -17 + 10x + 4x = 53 Combine like terms: 10x + 4x = 14x -17 + 14x = 53 Solving -17 + 14x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 14x = 53 + 17 Combine like terms: -17 + 17 = 0 0 + 14x = 53 + 17 14x = 53 + 17 Combine like terms: 53 + 17 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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