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Simplifying 3x + 18 = 11(x + 1) Reorder the terms: 18 + 3x = 11(x + 1) Reorder the terms: 18 + 3x = 11(1 + x) 18 + 3x = (1 * 11 + x * 11) 18 + 3x = (11 + 11x) Solving 18 + 3x = 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. 18 + 3x + -11x = 11 + 11x + -11x Combine like terms: 3x + -11x = -8x 18 + -8x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -8x = 11 + 0 18 + -8x = 11 Add '-18' to each side of the equation. 18 + -18 + -8x = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 11 + -18 -8x = 11 + -18 Combine like terms: 11 + -18 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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