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Simplifying 5(x + -6) = 7(-5 + -2x) Reorder the terms: 5(-6 + x) = 7(-5 + -2x) (-6 * 5 + x * 5) = 7(-5 + -2x) (-30 + 5x) = 7(-5 + -2x) -30 + 5x = (-5 * 7 + -2x * 7) -30 + 5x = (-35 + -14x) Solving -30 + 5x = -35 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -30 + 5x + 14x = -35 + -14x + 14x Combine like terms: 5x + 14x = 19x -30 + 19x = -35 + -14x + 14x Combine like terms: -14x + 14x = 0 -30 + 19x = -35 + 0 -30 + 19x = -35 Add '30' to each side of the equation. -30 + 30 + 19x = -35 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = -35 + 30 19x = -35 + 30 Combine like terms: -35 + 30 = -5 19x = -5 Divide each side by '19'. x = -0.2631578947 Simplifying x = -0.2631578947
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