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Simplifying x + 2(x + 1) = 68 + -3(x + 2) Reorder the terms: x + 2(1 + x) = 68 + -3(x + 2) x + (1 * 2 + x * 2) = 68 + -3(x + 2) x + (2 + 2x) = 68 + -3(x + 2) Reorder the terms: 2 + x + 2x = 68 + -3(x + 2) Combine like terms: x + 2x = 3x 2 + 3x = 68 + -3(x + 2) Reorder the terms: 2 + 3x = 68 + -3(2 + x) 2 + 3x = 68 + (2 * -3 + x * -3) 2 + 3x = 68 + (-6 + -3x) Combine like terms: 68 + -6 = 62 2 + 3x = 62 + -3x Solving 2 + 3x = 62 + -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. 2 + 3x + 3x = 62 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = 62 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = 62 + 0 2 + 6x = 62 Add '-2' to each side of the equation. 2 + -2 + 6x = 62 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 62 + -2 6x = 62 + -2 Combine like terms: 62 + -2 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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