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Simplifying 34 + -1(x + 6) = 9x + -2 Reorder the terms: 34 + -1(6 + x) = 9x + -2 34 + (6 * -1 + x * -1) = 9x + -2 34 + (-6 + -1x) = 9x + -2 Combine like terms: 34 + -6 = 28 28 + -1x = 9x + -2 Reorder the terms: 28 + -1x = -2 + 9x Solving 28 + -1x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + -1x + -9x = -2 + 9x + -9x Combine like terms: -1x + -9x = -10x 28 + -10x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -10x = -2 + 0 28 + -10x = -2 Add '-28' to each side of the equation. 28 + -28 + -10x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = -2 + -28 -10x = -2 + -28 Combine like terms: -2 + -28 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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