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Simplifying 11x + -18 = 4(x + 6) Reorder the terms: -18 + 11x = 4(x + 6) Reorder the terms: -18 + 11x = 4(6 + x) -18 + 11x = (6 * 4 + x * 4) -18 + 11x = (24 + 4x) Solving -18 + 11x = 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 + 11x + -4x = 24 + 4x + -4x Combine like terms: 11x + -4x = 7x -18 + 7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 7x = 24 + 0 -18 + 7x = 24 Add '18' to each side of the equation. -18 + 18 + 7x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 24 + 18 7x = 24 + 18 Combine like terms: 24 + 18 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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