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Simplifying 2(x + 6) + -1(6x + 30) = 0 Reorder the terms: 2(6 + x) + -1(6x + 30) = 0 (6 * 2 + x * 2) + -1(6x + 30) = 0 (12 + 2x) + -1(6x + 30) = 0 Reorder the terms: 12 + 2x + -1(30 + 6x) = 0 12 + 2x + (30 * -1 + 6x * -1) = 0 12 + 2x + (-30 + -6x) = 0 Reorder the terms: 12 + -30 + 2x + -6x = 0 Combine like terms: 12 + -30 = -18 -18 + 2x + -6x = 0 Combine like terms: 2x + -6x = -4x -18 + -4x = 0 Solving -18 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 0 + 18 -4x = 0 + 18 Combine like terms: 0 + 18 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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