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