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Simplifying -5 + -8 = 10x + 6 + -9x Combine like terms: -5 + -8 = -13 -13 = 10x + 6 + -9x Reorder the terms: -13 = 6 + 10x + -9x Combine like terms: 10x + -9x = 1x -13 = 6 + 1x Solving -13 = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -1x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + -1x = 6 + 0 -13 + -1x = 6 Add '13' to each side of the equation. -13 + 13 + -1x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 6 + 13 -1x = 6 + 13 Combine like terms: 6 + 13 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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