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Simplifying 6(x + 4) + -6x = 1(x + -9) Reorder the terms: 6(4 + x) + -6x = 1(x + -9) (4 * 6 + x * 6) + -6x = 1(x + -9) (24 + 6x) + -6x = 1(x + -9) Combine like terms: 6x + -6x = 0 24 + 0 = 1(x + -9) 24 = 1(x + -9) Reorder the terms: 24 = 1(-9 + x) 24 = (-9 * 1 + x * 1) 24 = (-9 + 1x) Solving 24 = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -1x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + -1x = -9 + 0 24 + -1x = -9 Add '-24' to each side of the equation. 24 + -24 + -1x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -9 + -24 -1x = -9 + -24 Combine like terms: -9 + -24 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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