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Simplifying 5(2x + -3) + -3x = 2x + 10 Reorder the terms: 5(-3 + 2x) + -3x = 2x + 10 (-3 * 5 + 2x * 5) + -3x = 2x + 10 (-15 + 10x) + -3x = 2x + 10 Combine like terms: 10x + -3x = 7x -15 + 7x = 2x + 10 Reorder the terms: -15 + 7x = 10 + 2x Solving -15 + 7x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 7x + -2x = 10 + 2x + -2x Combine like terms: 7x + -2x = 5x -15 + 5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 5x = 10 + 0 -15 + 5x = 10 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 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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