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Simplifying 6x + -15 + 18x + 6 = -12x + 32 Reorder the terms: -15 + 6 + 6x + 18x = -12x + 32 Combine like terms: -15 + 6 = -9 -9 + 6x + 18x = -12x + 32 Combine like terms: 6x + 18x = 24x -9 + 24x = -12x + 32 Reorder the terms: -9 + 24x = 32 + -12x Solving -9 + 24x = 32 + -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. -9 + 24x + 12x = 32 + -12x + 12x Combine like terms: 24x + 12x = 36x -9 + 36x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 -9 + 36x = 32 + 0 -9 + 36x = 32 Add '9' to each side of the equation. -9 + 9 + 36x = 32 + 9 Combine like terms: -9 + 9 = 0 0 + 36x = 32 + 9 36x = 32 + 9 Combine like terms: 32 + 9 = 41 36x = 41 Divide each side by '36'. x = 1.138888889 Simplifying x = 1.138888889
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