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Simplifying 12x + 6 = 18x + 8 + -3x + -8 Reorder the terms: 6 + 12x = 18x + 8 + -3x + -8 Reorder the terms: 6 + 12x = 8 + -8 + 18x + -3x Combine like terms: 8 + -8 = 0 6 + 12x = 0 + 18x + -3x 6 + 12x = 18x + -3x Combine like terms: 18x + -3x = 15x 6 + 12x = 15x Solving 6 + 12x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 12x + -15x = 15x + -15x Combine like terms: 12x + -15x = -3x 6 + -3x = 15x + -15x Combine like terms: 15x + -15x = 0 6 + -3x = 0 Add '-6' to each side of the equation. 6 + -6 + -3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 0 + -6 -3x = 0 + -6 Combine like terms: 0 + -6 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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