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Simplifying 3(x + 3) + 8 = (x + 1) * 10 Reorder the terms: 3(3 + x) + 8 = (x + 1) * 10 (3 * 3 + x * 3) + 8 = (x + 1) * 10 (9 + 3x) + 8 = (x + 1) * 10 Reorder the terms: 9 + 8 + 3x = (x + 1) * 10 Combine like terms: 9 + 8 = 17 17 + 3x = (x + 1) * 10 Reorder the terms: 17 + 3x = (1 + x) * 10 Reorder the terms for easier multiplication: 17 + 3x = 10(1 + x) 17 + 3x = (1 * 10 + x * 10) 17 + 3x = (10 + 10x) Solving 17 + 3x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 3x + -10x = 10 + 10x + -10x Combine like terms: 3x + -10x = -7x 17 + -7x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -7x = 10 + 0 17 + -7x = 10 Add '-17' to each side of the equation. 17 + -17 + -7x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 10 + -17 -7x = 10 + -17 Combine like terms: 10 + -17 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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