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Simplifying 7 + -1(2x + -4) = 3(4x + -5) Reorder the terms: 7 + -1(-4 + 2x) = 3(4x + -5) 7 + (-4 * -1 + 2x * -1) = 3(4x + -5) 7 + (4 + -2x) = 3(4x + -5) Combine like terms: 7 + 4 = 11 11 + -2x = 3(4x + -5) Reorder the terms: 11 + -2x = 3(-5 + 4x) 11 + -2x = (-5 * 3 + 4x * 3) 11 + -2x = (-15 + 12x) Solving 11 + -2x = -15 + 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. 11 + -2x + -12x = -15 + 12x + -12x Combine like terms: -2x + -12x = -14x 11 + -14x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -14x = -15 + 0 11 + -14x = -15 Add '-11' to each side of the equation. 11 + -11 + -14x = -15 + -11 Combine like terms: 11 + -11 = 0 0 + -14x = -15 + -11 -14x = -15 + -11 Combine like terms: -15 + -11 = -26 -14x = -26 Divide each side by '-14'. x = 1.857142857 Simplifying x = 1.857142857
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