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Simplifying 2(x + -6) + 7(x + -3) = 0 Reorder the terms: 2(-6 + x) + 7(x + -3) = 0 (-6 * 2 + x * 2) + 7(x + -3) = 0 (-12 + 2x) + 7(x + -3) = 0 Reorder the terms: -12 + 2x + 7(-3 + x) = 0 -12 + 2x + (-3 * 7 + x * 7) = 0 -12 + 2x + (-21 + 7x) = 0 Reorder the terms: -12 + -21 + 2x + 7x = 0 Combine like terms: -12 + -21 = -33 -33 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x -33 + 9x = 0 Solving -33 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 9x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = 0 + 33 9x = 0 + 33 Combine like terms: 0 + 33 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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