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Simplifying 6(x + 4) = 3(11 + -1x) Reorder the terms: 6(4 + x) = 3(11 + -1x) (4 * 6 + x * 6) = 3(11 + -1x) (24 + 6x) = 3(11 + -1x) 24 + 6x = (11 * 3 + -1x * 3) 24 + 6x = (33 + -3x) Solving 24 + 6x = 33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 6x + 3x = 33 + -3x + 3x Combine like terms: 6x + 3x = 9x 24 + 9x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 9x = 33 + 0 24 + 9x = 33 Add '-24' to each side of the equation. 24 + -24 + 9x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 33 + -24 9x = 33 + -24 Combine like terms: 33 + -24 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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