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Simplifying 2(x + 3) + -4(9x + -6) = 14 Reorder the terms: 2(3 + x) + -4(9x + -6) = 14 (3 * 2 + x * 2) + -4(9x + -6) = 14 (6 + 2x) + -4(9x + -6) = 14 Reorder the terms: 6 + 2x + -4(-6 + 9x) = 14 6 + 2x + (-6 * -4 + 9x * -4) = 14 6 + 2x + (24 + -36x) = 14 Reorder the terms: 6 + 24 + 2x + -36x = 14 Combine like terms: 6 + 24 = 30 30 + 2x + -36x = 14 Combine like terms: 2x + -36x = -34x 30 + -34x = 14 Solving 30 + -34x = 14 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 + -34x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -34x = 14 + -30 -34x = 14 + -30 Combine like terms: 14 + -30 = -16 -34x = -16 Divide each side by '-34'. x = 0.4705882353 Simplifying x = 0.4705882353
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