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Simplifying 5x + 34 + -8x = 12 + -1(9x + 2) Reorder the terms: 34 + 5x + -8x = 12 + -1(9x + 2) Combine like terms: 5x + -8x = -3x 34 + -3x = 12 + -1(9x + 2) Reorder the terms: 34 + -3x = 12 + -1(2 + 9x) 34 + -3x = 12 + (2 * -1 + 9x * -1) 34 + -3x = 12 + (-2 + -9x) Combine like terms: 12 + -2 = 10 34 + -3x = 10 + -9x Solving 34 + -3x = 10 + -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. 34 + -3x + 9x = 10 + -9x + 9x Combine like terms: -3x + 9x = 6x 34 + 6x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 34 + 6x = 10 + 0 34 + 6x = 10 Add '-34' to each side of the equation. 34 + -34 + 6x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 10 + -34 6x = 10 + -34 Combine like terms: 10 + -34 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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