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