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Simplifying 8 + -13 = x + -2 + 3 + 3 + 3 Combine like terms: 8 + -13 = -5 -5 = x + -2 + 3 + 3 + 3 Reorder the terms: -5 = -2 + 3 + 3 + 3 + x Combine like terms: -2 + 3 = 1 -5 = 1 + 3 + 3 + x Combine like terms: 1 + 3 = 4 -5 = 4 + 3 + x Combine like terms: 4 + 3 = 7 -5 = 7 + x Solving -5 = 7 + 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 = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + -1x = 7 + 0 -5 + -1x = 7 Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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