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Simplifying 6(3x + -4) = 11(x + 1) Reorder the terms: 6(-4 + 3x) = 11(x + 1) (-4 * 6 + 3x * 6) = 11(x + 1) (-24 + 18x) = 11(x + 1) Reorder the terms: -24 + 18x = 11(1 + x) -24 + 18x = (1 * 11 + x * 11) -24 + 18x = (11 + 11x) Solving -24 + 18x = 11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -24 + 18x + -11x = 11 + 11x + -11x Combine like terms: 18x + -11x = 7x -24 + 7x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + 7x = 11 + 0 -24 + 7x = 11 Add '24' to each side of the equation. -24 + 24 + 7x = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 11 + 24 7x = 11 + 24 Combine like terms: 11 + 24 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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