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