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Simplifying x + 34 = 2(x + 3) + 4(x + 2) Reorder the terms: 34 + x = 2(x + 3) + 4(x + 2) Reorder the terms: 34 + x = 2(3 + x) + 4(x + 2) 34 + x = (3 * 2 + x * 2) + 4(x + 2) 34 + x = (6 + 2x) + 4(x + 2) Reorder the terms: 34 + x = 6 + 2x + 4(2 + x) 34 + x = 6 + 2x + (2 * 4 + x * 4) 34 + x = 6 + 2x + (8 + 4x) Reorder the terms: 34 + x = 6 + 8 + 2x + 4x Combine like terms: 6 + 8 = 14 34 + x = 14 + 2x + 4x Combine like terms: 2x + 4x = 6x 34 + x = 14 + 6x Solving 34 + x = 14 + 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. 34 + x + -6x = 14 + 6x + -6x Combine like terms: x + -6x = -5x 34 + -5x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + -5x = 14 + 0 34 + -5x = 14 Add '-34' to each side of the equation. 34 + -34 + -5x = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = 14 + -34 -5x = 14 + -34 Combine like terms: 14 + -34 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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