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Simplifying 8 + -13 = x + -9 + 19 Combine like terms: 8 + -13 = -5 -5 = x + -9 + 19 Reorder the terms: -5 = -9 + 19 + x Combine like terms: -9 + 19 = 10 -5 = 10 + x Solving -5 = 10 + x 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. -5 + -1x = 10 + x + -1x Combine like terms: x + -1x = 0 -5 + -1x = 10 + 0 -5 + -1x = 10 Add '5' to each side of the equation. -5 + 5 + -1x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 10 + 5 -1x = 10 + 5 Combine like terms: 10 + 5 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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