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Simplifying (8x + -12) + (15x + -20) = 14 Reorder the terms: (-12 + 8x) + (15x + -20) = 14 Remove parenthesis around (-12 + 8x) -12 + 8x + (15x + -20) = 14 Reorder the terms: -12 + 8x + (-20 + 15x) = 14 Remove parenthesis around (-20 + 15x) -12 + 8x + -20 + 15x = 14 Reorder the terms: -12 + -20 + 8x + 15x = 14 Combine like terms: -12 + -20 = -32 -32 + 8x + 15x = 14 Combine like terms: 8x + 15x = 23x -32 + 23x = 14 Solving -32 + 23x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 23x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 23x = 14 + 32 23x = 14 + 32 Combine like terms: 14 + 32 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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