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Simplifying -6 + -12 = 8x + 16 + -7x Combine like terms: -6 + -12 = -18 -18 = 8x + 16 + -7x Reorder the terms: -18 = 16 + 8x + -7x Combine like terms: 8x + -7x = 1x -18 = 16 + 1x Solving -18 = 16 + 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. -18 + -1x = 16 + 1x + -1x Combine like terms: 1x + -1x = 0 -18 + -1x = 16 + 0 -18 + -1x = 16 Add '18' to each side of the equation. -18 + 18 + -1x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 16 + 18 -1x = 16 + 18 Combine like terms: 16 + 18 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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