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Simplifying 3(-1x + 4) + (-1x + -8) = 10 + -2x Reorder the terms: 3(4 + -1x) + (-1x + -8) = 10 + -2x (4 * 3 + -1x * 3) + (-1x + -8) = 10 + -2x (12 + -3x) + (-1x + -8) = 10 + -2x Reorder the terms: 12 + -3x + (-8 + -1x) = 10 + -2x Remove parenthesis around (-8 + -1x) 12 + -3x + -8 + -1x = 10 + -2x Reorder the terms: 12 + -8 + -3x + -1x = 10 + -2x Combine like terms: 12 + -8 = 4 4 + -3x + -1x = 10 + -2x Combine like terms: -3x + -1x = -4x 4 + -4x = 10 + -2x Solving 4 + -4x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + -4x + 2x = 10 + -2x + 2x Combine like terms: -4x + 2x = -2x 4 + -2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -2x = 10 + 0 4 + -2x = 10 Add '-4' to each side of the equation. 4 + -4 + -2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 10 + -4 -2x = 10 + -4 Combine like terms: 10 + -4 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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