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Simplifying 5(1x + 2) + -2 = 6x + -9 Reorder the terms: 5(2 + 1x) + -2 = 6x + -9 (2 * 5 + 1x * 5) + -2 = 6x + -9 (10 + 5x) + -2 = 6x + -9 Reorder the terms: 10 + -2 + 5x = 6x + -9 Combine like terms: 10 + -2 = 8 8 + 5x = 6x + -9 Reorder the terms: 8 + 5x = -9 + 6x Solving 8 + 5x = -9 + 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. 8 + 5x + -6x = -9 + 6x + -6x Combine like terms: 5x + -6x = -1x 8 + -1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -1x = -9 + 0 8 + -1x = -9 Add '-8' to each side of the equation. 8 + -8 + -1x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -9 + -8 -1x = -9 + -8 Combine like terms: -9 + -8 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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