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Simplifying 5(2x + -3) + -5x = 2x + -2(5 + x) Reorder the terms: 5(-3 + 2x) + -5x = 2x + -2(5 + x) (-3 * 5 + 2x * 5) + -5x = 2x + -2(5 + x) (-15 + 10x) + -5x = 2x + -2(5 + x) Combine like terms: 10x + -5x = 5x -15 + 5x = 2x + -2(5 + x) -15 + 5x = 2x + (5 * -2 + x * -2) -15 + 5x = 2x + (-10 + -2x) Reorder the terms: -15 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 5x = -10 + 0 -15 + 5x = -10 Solving -15 + 5x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -10 + 15 5x = -10 + 15 Combine like terms: -10 + 15 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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