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Simplifying 5(3x + -6) = 7(2x + -5) Reorder the terms: 5(-6 + 3x) = 7(2x + -5) (-6 * 5 + 3x * 5) = 7(2x + -5) (-30 + 15x) = 7(2x + -5) Reorder the terms: -30 + 15x = 7(-5 + 2x) -30 + 15x = (-5 * 7 + 2x * 7) -30 + 15x = (-35 + 14x) Solving -30 + 15x = -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 + 15x + -14x = -35 + 14x + -14x Combine like terms: 15x + -14x = 1x -30 + 1x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + 1x = -35 + 0 -30 + 1x = -35 Add '30' to each side of the equation. -30 + 30 + 1x = -35 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -35 + 30 1x = -35 + 30 Combine like terms: -35 + 30 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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