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Simplifying 10 + -1(x + 6) + -2 = -5x + 9 + -1(-5x + 3) Reorder the terms: 10 + -1(6 + x) + -2 = -5x + 9 + -1(-5x + 3) 10 + (6 * -1 + x * -1) + -2 = -5x + 9 + -1(-5x + 3) 10 + (-6 + -1x) + -2 = -5x + 9 + -1(-5x + 3) Reorder the terms: 10 + -6 + -2 + -1x = -5x + 9 + -1(-5x + 3) Combine like terms: 10 + -6 = 4 4 + -2 + -1x = -5x + 9 + -1(-5x + 3) Combine like terms: 4 + -2 = 2 2 + -1x = -5x + 9 + -1(-5x + 3) Reorder the terms: 2 + -1x = -5x + 9 + -1(3 + -5x) 2 + -1x = -5x + 9 + (3 * -1 + -5x * -1) 2 + -1x = -5x + 9 + (-3 + 5x) Reorder the terms: 2 + -1x = 9 + -3 + -5x + 5x Combine like terms: 9 + -3 = 6 2 + -1x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -1x = 6 + 0 2 + -1x = 6 Solving 2 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 6 + -2 -1x = 6 + -2 Combine like terms: 6 + -2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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