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Simplifying x + -1(6x + -2) = -10x + (5 + -1x) Reorder the terms: x + -1(-2 + 6x) = -10x + (5 + -1x) x + (-2 * -1 + 6x * -1) = -10x + (5 + -1x) x + (2 + -6x) = -10x + (5 + -1x) Reorder the terms: 2 + x + -6x = -10x + (5 + -1x) Combine like terms: x + -6x = -5x 2 + -5x = -10x + (5 + -1x) Remove parenthesis around (5 + -1x) 2 + -5x = -10x + 5 + -1x Reorder the terms: 2 + -5x = 5 + -10x + -1x Combine like terms: -10x + -1x = -11x 2 + -5x = 5 + -11x Solving 2 + -5x = 5 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2 + -5x + 11x = 5 + -11x + 11x Combine like terms: -5x + 11x = 6x 2 + 6x = 5 + -11x + 11x Combine like terms: -11x + 11x = 0 2 + 6x = 5 + 0 2 + 6x = 5 Add '-2' to each side of the equation. 2 + -2 + 6x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 5 + -2 6x = 5 + -2 Combine like terms: 5 + -2 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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