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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 = -17x 7 + -17x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -17x = -20 + 0 7 + -17x = -20 Add '-7' to each side of the equation. 7 + -7 + -17x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -17x = -20 + -7 -17x = -20 + -7 Combine like terms: -20 + -7 = -27 -17x = -27 Divide each side by '-17'. x = 1.588235294 Simplifying x = 1.588235294
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