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Simplifying 2x + 21 = 3(x + 5) Reorder the terms: 21 + 2x = 3(x + 5) Reorder the terms: 21 + 2x = 3(5 + x) 21 + 2x = (5 * 3 + x * 3) 21 + 2x = (15 + 3x) Solving 21 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x 21 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -1x = 15 + 0 21 + -1x = 15 Add '-21' to each side of the equation. 21 + -21 + -1x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 15 + -21 -1x = 15 + -21 Combine like terms: 15 + -21 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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