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Simplifying 2(3x + -4) = -1(5x + -7) Reorder the terms: 2(-4 + 3x) = -1(5x + -7) (-4 * 2 + 3x * 2) = -1(5x + -7) (-8 + 6x) = -1(5x + -7) Reorder the terms: -8 + 6x = -1(-7 + 5x) -8 + 6x = (-7 * -1 + 5x * -1) -8 + 6x = (7 + -5x) Solving -8 + 6x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 6x + 5x = 7 + -5x + 5x Combine like terms: 6x + 5x = 11x -8 + 11x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 11x = 7 + 0 -8 + 11x = 7 Add '8' to each side of the equation. -8 + 8 + 11x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 7 + 8 11x = 7 + 8 Combine like terms: 7 + 8 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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