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Simplifying 5(2x + -3) = -2x + 21 Reorder the terms: 5(-3 + 2x) = -2x + 21 (-3 * 5 + 2x * 5) = -2x + 21 (-15 + 10x) = -2x + 21 Reorder the terms: -15 + 10x = 21 + -2x Solving -15 + 10x = 21 + -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 = 21 + -2x + 2x Combine like terms: 10x + 2x = 12x -15 + 12x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 12x = 21 + 0 -15 + 12x = 21 Add '15' to each side of the equation. -15 + 15 + 12x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 21 + 15 12x = 21 + 15 Combine like terms: 21 + 15 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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