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Simplifying 8x + -12 + 13 + -14x + 17 = 12x + 14 + -14 + -14 + 13 + 12 Reorder the terms: -12 + 13 + 17 + 8x + -14x = 12x + 14 + -14 + -14 + 13 + 12 Combine like terms: -12 + 13 = 1 1 + 17 + 8x + -14x = 12x + 14 + -14 + -14 + 13 + 12 Combine like terms: 1 + 17 = 18 18 + 8x + -14x = 12x + 14 + -14 + -14 + 13 + 12 Combine like terms: 8x + -14x = -6x 18 + -6x = 12x + 14 + -14 + -14 + 13 + 12 Reorder the terms: 18 + -6x = 14 + -14 + -14 + 13 + 12 + 12x Combine like terms: 14 + -14 = 0 18 + -6x = 0 + -14 + 13 + 12 + 12x 18 + -6x = -14 + 13 + 12 + 12x Combine like terms: -14 + 13 = -1 18 + -6x = -1 + 12 + 12x Combine like terms: -1 + 12 = 11 18 + -6x = 11 + 12x Solving 18 + -6x = 11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -6x + -12x = 11 + 12x + -12x Combine like terms: -6x + -12x = -18x 18 + -18x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -18x = 11 + 0 18 + -18x = 11 Add '-18' to each side of the equation. 18 + -18 + -18x = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = 11 + -18 -18x = 11 + -18 Combine like terms: 11 + -18 = -7 -18x = -7 Divide each side by '-18'. x = 0.3888888889 Simplifying x = 0.3888888889
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