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Simplifying 2(5x + -7) = 4x + -1(x + -9) Reorder the terms: 2(-7 + 5x) = 4x + -1(x + -9) (-7 * 2 + 5x * 2) = 4x + -1(x + -9) (-14 + 10x) = 4x + -1(x + -9) Reorder the terms: -14 + 10x = 4x + -1(-9 + x) -14 + 10x = 4x + (-9 * -1 + x * -1) -14 + 10x = 4x + (9 + -1x) Reorder the terms: -14 + 10x = 9 + 4x + -1x Combine like terms: 4x + -1x = 3x -14 + 10x = 9 + 3x Solving -14 + 10x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 10x + -3x = 9 + 3x + -3x Combine like terms: 10x + -3x = 7x -14 + 7x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 7x = 9 + 0 -14 + 7x = 9 Add '14' to each side of the equation. -14 + 14 + 7x = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 9 + 14 7x = 9 + 14 Combine like terms: 9 + 14 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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