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Simplifying 6 + -1(2x + -1) = -5(3x + -4) Reorder the terms: 6 + -1(-1 + 2x) = -5(3x + -4) 6 + (-1 * -1 + 2x * -1) = -5(3x + -4) 6 + (1 + -2x) = -5(3x + -4) Combine like terms: 6 + 1 = 7 7 + -2x = -5(3x + -4) Reorder the terms: 7 + -2x = -5(-4 + 3x) 7 + -2x = (-4 * -5 + 3x * -5) 7 + -2x = (20 + -15x) Solving 7 + -2x = 20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 7 + -2x + 15x = 20 + -15x + 15x Combine like terms: -2x + 15x = 13x 7 + 13x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 7 + 13x = 20 + 0 7 + 13x = 20 Add '-7' to each side of the equation. 7 + -7 + 13x = 20 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 20 + -7 13x = 20 + -7 Combine like terms: 20 + -7 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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