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Simplifying x = (5x + 3) + -1(2x + -7) Reorder the terms: x = (3 + 5x) + -1(2x + -7) Remove parenthesis around (3 + 5x) x = 3 + 5x + -1(2x + -7) Reorder the terms: x = 3 + 5x + -1(-7 + 2x) x = 3 + 5x + (-7 * -1 + 2x * -1) x = 3 + 5x + (7 + -2x) Reorder the terms: x = 3 + 7 + 5x + -2x Combine like terms: 3 + 7 = 10 x = 10 + 5x + -2x Combine like terms: 5x + -2x = 3x x = 10 + 3x Solving x = 10 + 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. x + -3x = 10 + 3x + -3x Combine like terms: x + -3x = -2x -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -2x = 10 + 0 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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