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Simplifying 170 = x + 2(x + 1) + 3(x + 2) Reorder the terms: 170 = x + 2(1 + x) + 3(x + 2) 170 = x + (1 * 2 + x * 2) + 3(x + 2) 170 = x + (2 + 2x) + 3(x + 2) Reorder the terms: 170 = x + 2 + 2x + 3(2 + x) 170 = x + 2 + 2x + (2 * 3 + x * 3) 170 = x + 2 + 2x + (6 + 3x) Reorder the terms: 170 = 2 + 6 + x + 2x + 3x Combine like terms: 2 + 6 = 8 170 = 8 + x + 2x + 3x Combine like terms: x + 2x = 3x 170 = 8 + 3x + 3x Combine like terms: 3x + 3x = 6x 170 = 8 + 6x Solving 170 = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 170 + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 170 + -6x = 8 + 0 170 + -6x = 8 Add '-170' to each side of the equation. 170 + -170 + -6x = 8 + -170 Combine like terms: 170 + -170 = 0 0 + -6x = 8 + -170 -6x = 8 + -170 Combine like terms: 8 + -170 = -162 -6x = -162 Divide each side by '-6'. x = 27 Simplifying x = 27
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