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Simplifying 6(x + 7) + -2x = 34 Reorder the terms: 6(7 + x) + -2x = 34 (7 * 6 + x * 6) + -2x = 34 (42 + 6x) + -2x = 34 Combine like terms: 6x + -2x = 4x 42 + 4x = 34 Solving 42 + 4x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 4x = 34 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 34 + -42 4x = 34 + -42 Combine like terms: 34 + -42 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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