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Simplifying (5x + -12) + -1(3x + 18) = 0 Reorder the terms: (-12 + 5x) + -1(3x + 18) = 0 Remove parenthesis around (-12 + 5x) -12 + 5x + -1(3x + 18) = 0 Reorder the terms: -12 + 5x + -1(18 + 3x) = 0 -12 + 5x + (18 * -1 + 3x * -1) = 0 -12 + 5x + (-18 + -3x) = 0 Reorder the terms: -12 + -18 + 5x + -3x = 0 Combine like terms: -12 + -18 = -30 -30 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -30 + 2x = 0 Solving -30 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 2x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 0 + 30 2x = 0 + 30 Combine like terms: 0 + 30 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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