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Simplifying -2(x + 5) + -1x = 8 + 3(x + -2) Reorder the terms: -2(5 + x) + -1x = 8 + 3(x + -2) (5 * -2 + x * -2) + -1x = 8 + 3(x + -2) (-10 + -2x) + -1x = 8 + 3(x + -2) Combine like terms: -2x + -1x = -3x -10 + -3x = 8 + 3(x + -2) Reorder the terms: -10 + -3x = 8 + 3(-2 + x) -10 + -3x = 8 + (-2 * 3 + x * 3) -10 + -3x = 8 + (-6 + 3x) Combine like terms: 8 + -6 = 2 -10 + -3x = 2 + 3x Solving -10 + -3x = 2 + 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. -10 + -3x + -3x = 2 + 3x + -3x Combine like terms: -3x + -3x = -6x -10 + -6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -6x = 2 + 0 -10 + -6x = 2 Add '10' to each side of the equation. -10 + 10 + -6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 2 + 10 -6x = 2 + 10 Combine like terms: 2 + 10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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