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Simplifying 2.33(x + 4) = 2(x + 1) + 3 Reorder the terms: 2.33(4 + x) = 2(x + 1) + 3 (4 * 2.33 + x * 2.33) = 2(x + 1) + 3 (9.32 + 2.33x) = 2(x + 1) + 3 Reorder the terms: 9.32 + 2.33x = 2(1 + x) + 3 9.32 + 2.33x = (1 * 2 + x * 2) + 3 9.32 + 2.33x = (2 + 2x) + 3 Reorder the terms: 9.32 + 2.33x = 2 + 3 + 2x Combine like terms: 2 + 3 = 5 9.32 + 2.33x = 5 + 2x Solving 9.32 + 2.33x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9.32 + 2.33x + -2x = 5 + 2x + -2x Combine like terms: 2.33x + -2x = 0.33x 9.32 + 0.33x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 9.32 + 0.33x = 5 + 0 9.32 + 0.33x = 5 Add '-9.32' to each side of the equation. 9.32 + -9.32 + 0.33x = 5 + -9.32 Combine like terms: 9.32 + -9.32 = 0.00 0.00 + 0.33x = 5 + -9.32 0.33x = 5 + -9.32 Combine like terms: 5 + -9.32 = -4.32 0.33x = -4.32 Divide each side by '0.33'. x = -13.09090909 Simplifying x = -13.09090909
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