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Simplifying 2x + 9 = 5 + -1(6x + -12) Reorder the terms: 9 + 2x = 5 + -1(6x + -12) Reorder the terms: 9 + 2x = 5 + -1(-12 + 6x) 9 + 2x = 5 + (-12 * -1 + 6x * -1) 9 + 2x = 5 + (12 + -6x) Combine like terms: 5 + 12 = 17 9 + 2x = 17 + -6x Solving 9 + 2x = 17 + -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. 9 + 2x + 6x = 17 + -6x + 6x Combine like terms: 2x + 6x = 8x 9 + 8x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 8x = 17 + 0 9 + 8x = 17 Add '-9' to each side of the equation. 9 + -9 + 8x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 17 + -9 8x = 17 + -9 Combine like terms: 17 + -9 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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