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Simplifying 5(x + -3) = 7(2x + 5) Reorder the terms: 5(-3 + x) = 7(2x + 5) (-3 * 5 + x * 5) = 7(2x + 5) (-15 + 5x) = 7(2x + 5) Reorder the terms: -15 + 5x = 7(5 + 2x) -15 + 5x = (5 * 7 + 2x * 7) -15 + 5x = (35 + 14x) Solving -15 + 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. -15 + 5x + -14x = 35 + 14x + -14x Combine like terms: 5x + -14x = -9x -15 + -9x = 35 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -9x = 35 + 0 -15 + -9x = 35 Add '15' to each side of the equation. -15 + 15 + -9x = 35 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 35 + 15 -9x = 35 + 15 Combine like terms: 35 + 15 = 50 -9x = 50 Divide each side by '-9'. x = -5.555555556 Simplifying x = -5.555555556
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