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Simplifying 5 + -1(3x + -1) = -2(6x + -5) Reorder the terms: 5 + -1(-1 + 3x) = -2(6x + -5) 5 + (-1 * -1 + 3x * -1) = -2(6x + -5) 5 + (1 + -3x) = -2(6x + -5) Combine like terms: 5 + 1 = 6 6 + -3x = -2(6x + -5) Reorder the terms: 6 + -3x = -2(-5 + 6x) 6 + -3x = (-5 * -2 + 6x * -2) 6 + -3x = (10 + -12x) Solving 6 + -3x = 10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + -3x + 12x = 10 + -12x + 12x Combine like terms: -3x + 12x = 9x 6 + 9x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 9x = 10 + 0 6 + 9x = 10 Add '-6' to each side of the equation. 6 + -6 + 9x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 10 + -6 9x = 10 + -6 Combine like terms: 10 + -6 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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