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Simplifying 6(x + 6) = 4x + 34 Reorder the terms: 6(6 + x) = 4x + 34 (6 * 6 + x * 6) = 4x + 34 (36 + 6x) = 4x + 34 Reorder the terms: 36 + 6x = 34 + 4x Solving 36 + 6x = 34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + 6x + -4x = 34 + 4x + -4x Combine like terms: 6x + -4x = 2x 36 + 2x = 34 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 2x = 34 + 0 36 + 2x = 34 Add '-36' to each side of the equation. 36 + -36 + 2x = 34 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 34 + -36 2x = 34 + -36 Combine like terms: 34 + -36 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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