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Simplifying 10 + -1(x + 6) = 5x + -2 Reorder the terms: 10 + -1(6 + x) = 5x + -2 10 + (6 * -1 + x * -1) = 5x + -2 10 + (-6 + -1x) = 5x + -2 Combine like terms: 10 + -6 = 4 4 + -1x = 5x + -2 Reorder the terms: 4 + -1x = -2 + 5x Solving 4 + -1x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -1x + -5x = -2 + 5x + -5x Combine like terms: -1x + -5x = -6x 4 + -6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -6x = -2 + 0 4 + -6x = -2 Add '-4' to each side of the equation. 4 + -4 + -6x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -2 + -4 -6x = -2 + -4 Combine like terms: -2 + -4 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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