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Simplifying -4x + -9x = 6(x + 2) + -1(x + 12) Combine like terms: -4x + -9x = -13x -13x = 6(x + 2) + -1(x + 12) Reorder the terms: -13x = 6(2 + x) + -1(x + 12) -13x = (2 * 6 + x * 6) + -1(x + 12) -13x = (12 + 6x) + -1(x + 12) Reorder the terms: -13x = 12 + 6x + -1(12 + x) -13x = 12 + 6x + (12 * -1 + x * -1) -13x = 12 + 6x + (-12 + -1x) Reorder the terms: -13x = 12 + -12 + 6x + -1x Combine like terms: 12 + -12 = 0 -13x = 0 + 6x + -1x -13x = 6x + -1x Combine like terms: 6x + -1x = 5x -13x = 5x Solving -13x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13x + -5x = 5x + -5x Combine like terms: -13x + -5x = -18x -18x = 5x + -5x Combine like terms: 5x + -5x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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