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Simplifying -1(2 + 5x) + 7x = -2x + -1(-10 + -1x) (2 * -1 + 5x * -1) + 7x = -2x + -1(-10 + -1x) (-2 + -5x) + 7x = -2x + -1(-10 + -1x) Combine like terms: -5x + 7x = 2x -2 + 2x = -2x + -1(-10 + -1x) -2 + 2x = -2x + (-10 * -1 + -1x * -1) -2 + 2x = -2x + (10 + 1x) Reorder the terms: -2 + 2x = 10 + -2x + 1x Combine like terms: -2x + 1x = -1x -2 + 2x = 10 + -1x Solving -2 + 2x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 2x + x = 10 + -1x + x Combine like terms: 2x + x = 3x -2 + 3x = 10 + -1x + x Combine like terms: -1x + x = 0 -2 + 3x = 10 + 0 -2 + 3x = 10 Add '2' to each side of the equation. -2 + 2 + 3x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 10 + 2 3x = 10 + 2 Combine like terms: 10 + 2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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