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Simplifying 2(5 + -3x) + -1(2 + -4x) = -3x (5 * 2 + -3x * 2) + -1(2 + -4x) = -3x (10 + -6x) + -1(2 + -4x) = -3x 10 + -6x + (2 * -1 + -4x * -1) = -3x 10 + -6x + (-2 + 4x) = -3x Reorder the terms: 10 + -2 + -6x + 4x = -3x Combine like terms: 10 + -2 = 8 8 + -6x + 4x = -3x Combine like terms: -6x + 4x = -2x 8 + -2x = -3x Solving 8 + -2x = -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. 8 + -2x + 3x = -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = 0 Add '-8' to each side of the equation. 8 + -8 + 1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 0 + -8 1x = 0 + -8 Combine like terms: 0 + -8 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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