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Simplifying 3(x + 4) + 10 = 2x + 21 Reorder the terms: 3(4 + x) + 10 = 2x + 21 (4 * 3 + x * 3) + 10 = 2x + 21 (12 + 3x) + 10 = 2x + 21 Reorder the terms: 12 + 10 + 3x = 2x + 21 Combine like terms: 12 + 10 = 22 22 + 3x = 2x + 21 Reorder the terms: 22 + 3x = 21 + 2x Solving 22 + 3x = 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. 22 + 3x + -2x = 21 + 2x + -2x Combine like terms: 3x + -2x = 1x 22 + 1x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 1x = 21 + 0 22 + 1x = 21 Add '-22' to each side of the equation. 22 + -22 + 1x = 21 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 21 + -22 1x = 21 + -22 Combine like terms: 21 + -22 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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