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Simplifying 3x + -18 + 6 = 5x + 10 + -8 Reorder the terms: -18 + 6 + 3x = 5x + 10 + -8 Combine like terms: -18 + 6 = -12 -12 + 3x = 5x + 10 + -8 Reorder the terms: -12 + 3x = 10 + -8 + 5x Combine like terms: 10 + -8 = 2 -12 + 3x = 2 + 5x Solving -12 + 3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x -12 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -2x = 2 + 0 -12 + -2x = 2 Add '12' to each side of the equation. -12 + 12 + -2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 2 + 12 -2x = 2 + 12 Combine like terms: 2 + 12 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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