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Simplifying 6 + -1(3x + -2) = 2(x + -5) + x Reorder the terms: 6 + -1(-2 + 3x) = 2(x + -5) + x 6 + (-2 * -1 + 3x * -1) = 2(x + -5) + x 6 + (2 + -3x) = 2(x + -5) + x Combine like terms: 6 + 2 = 8 8 + -3x = 2(x + -5) + x Reorder the terms: 8 + -3x = 2(-5 + x) + x 8 + -3x = (-5 * 2 + x * 2) + x 8 + -3x = (-10 + 2x) + x Combine like terms: 2x + x = 3x 8 + -3x = -10 + 3x Solving 8 + -3x = -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. 8 + -3x + -3x = -10 + 3x + -3x Combine like terms: -3x + -3x = -6x 8 + -6x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -6x = -10 + 0 8 + -6x = -10 Add '-8' to each side of the equation. 8 + -8 + -6x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -10 + -8 -6x = -10 + -8 Combine like terms: -10 + -8 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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