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Simplifying 4x + 8 + -12x + 6 = 7 + 10x + -8 Reorder the terms: 8 + 6 + 4x + -12x = 7 + 10x + -8 Combine like terms: 8 + 6 = 14 14 + 4x + -12x = 7 + 10x + -8 Combine like terms: 4x + -12x = -8x 14 + -8x = 7 + 10x + -8 Reorder the terms: 14 + -8x = 7 + -8 + 10x Combine like terms: 7 + -8 = -1 14 + -8x = -1 + 10x Solving 14 + -8x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + -8x + -10x = -1 + 10x + -10x Combine like terms: -8x + -10x = -18x 14 + -18x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -18x = -1 + 0 14 + -18x = -1 Add '-14' to each side of the equation. 14 + -14 + -18x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -18x = -1 + -14 -18x = -1 + -14 Combine like terms: -1 + -14 = -15 -18x = -15 Divide each side by '-18'. x = 0.8333333333 Simplifying x = 0.8333333333
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