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Simplifying 2(x + 9) = 4(6 + -1x) Reorder the terms: 2(9 + x) = 4(6 + -1x) (9 * 2 + x * 2) = 4(6 + -1x) (18 + 2x) = 4(6 + -1x) 18 + 2x = (6 * 4 + -1x * 4) 18 + 2x = (24 + -4x) Solving 18 + 2x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + 2x + 4x = 24 + -4x + 4x Combine like terms: 2x + 4x = 6x 18 + 6x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 6x = 24 + 0 18 + 6x = 24 Add '-18' to each side of the equation. 18 + -18 + 6x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 24 + -18 6x = 24 + -18 Combine like terms: 24 + -18 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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