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