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Simplifying 3(x + 9) + -7 = x + 10 Reorder the terms: 3(9 + x) + -7 = x + 10 (9 * 3 + x * 3) + -7 = x + 10 (27 + 3x) + -7 = x + 10 Reorder the terms: 27 + -7 + 3x = x + 10 Combine like terms: 27 + -7 = 20 20 + 3x = x + 10 Reorder the terms: 20 + 3x = 10 + x Solving 20 + 3x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 3x + -1x = 10 + x + -1x Combine like terms: 3x + -1x = 2x 20 + 2x = 10 + x + -1x Combine like terms: x + -1x = 0 20 + 2x = 10 + 0 20 + 2x = 10 Add '-20' to each side of the equation. 20 + -20 + 2x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 10 + -20 2x = 10 + -20 Combine like terms: 10 + -20 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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