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Simplifying -2 + -13 = 8x + 14 + -7x Combine like terms: -2 + -13 = -15 -15 = 8x + 14 + -7x Reorder the terms: -15 = 14 + 8x + -7x Combine like terms: 8x + -7x = 1x -15 = 14 + 1x Solving -15 = 14 + 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. -15 + -1x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + -1x = 14 + 0 -15 + -1x = 14 Add '15' to each side of the equation. -15 + 15 + -1x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 14 + 15 -1x = 14 + 15 Combine like terms: 14 + 15 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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