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Simplifying 7 + -1(6x + -5) = 5(2x + -1) + -4x Reorder the terms: 7 + -1(-5 + 6x) = 5(2x + -1) + -4x 7 + (-5 * -1 + 6x * -1) = 5(2x + -1) + -4x 7 + (5 + -6x) = 5(2x + -1) + -4x Combine like terms: 7 + 5 = 12 12 + -6x = 5(2x + -1) + -4x Reorder the terms: 12 + -6x = 5(-1 + 2x) + -4x 12 + -6x = (-1 * 5 + 2x * 5) + -4x 12 + -6x = (-5 + 10x) + -4x Combine like terms: 10x + -4x = 6x 12 + -6x = -5 + 6x Solving 12 + -6x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -6x + -6x = -5 + 6x + -6x Combine like terms: -6x + -6x = -12x 12 + -12x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -12x = -5 + 0 12 + -12x = -5 Add '-12' to each side of the equation. 12 + -12 + -12x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -5 + -12 -12x = -5 + -12 Combine like terms: -5 + -12 = -17 -12x = -17 Divide each side by '-12'. x = 1.416666667 Simplifying x = 1.416666667
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