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Simplifying 3(x + 4) + 5(x + -3) = 21 Reorder the terms: 3(4 + x) + 5(x + -3) = 21 (4 * 3 + x * 3) + 5(x + -3) = 21 (12 + 3x) + 5(x + -3) = 21 Reorder the terms: 12 + 3x + 5(-3 + x) = 21 12 + 3x + (-3 * 5 + x * 5) = 21 12 + 3x + (-15 + 5x) = 21 Reorder the terms: 12 + -15 + 3x + 5x = 21 Combine like terms: 12 + -15 = -3 -3 + 3x + 5x = 21 Combine like terms: 3x + 5x = 8x -3 + 8x = 21 Solving -3 + 8x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 21 + 3 8x = 21 + 3 Combine like terms: 21 + 3 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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