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Simplifying 5(2x + -3) = 2x + 9 Reorder the terms: 5(-3 + 2x) = 2x + 9 (-3 * 5 + 2x * 5) = 2x + 9 (-15 + 10x) = 2x + 9 Reorder the terms: -15 + 10x = 9 + 2x Solving -15 + 10x = 9 + 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 + 10x + -2x = 9 + 2x + -2x Combine like terms: 10x + -2x = 8x -15 + 8x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 8x = 9 + 0 -15 + 8x = 9 Add '15' to each side of the equation. -15 + 15 + 8x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 9 + 15 8x = 9 + 15 Combine like terms: 9 + 15 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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