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Simplifying -6(x + -4) + -1(x + 6) = 9 Reorder the terms: -6(-4 + x) + -1(x + 6) = 9 (-4 * -6 + x * -6) + -1(x + 6) = 9 (24 + -6x) + -1(x + 6) = 9 Reorder the terms: 24 + -6x + -1(6 + x) = 9 24 + -6x + (6 * -1 + x * -1) = 9 24 + -6x + (-6 + -1x) = 9 Reorder the terms: 24 + -6 + -6x + -1x = 9 Combine like terms: 24 + -6 = 18 18 + -6x + -1x = 9 Combine like terms: -6x + -1x = -7x 18 + -7x = 9 Solving 18 + -7x = 9 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 + -7x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 9 + -18 -7x = 9 + -18 Combine like terms: 9 + -18 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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