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Simplifying 0.3(x + 1) = 27(3 + x) Reorder the terms: 0.3(1 + x) = 27(3 + x) (1 * 0.3 + x * 0.3) = 27(3 + x) (0.3 + 0.3x) = 27(3 + x) 0.3 + 0.3x = (3 * 27 + x * 27) 0.3 + 0.3x = (81 + 27x) Solving 0.3 + 0.3x = 81 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 0.3 + 0.3x + -27x = 81 + 27x + -27x Combine like terms: 0.3x + -27x = -26.7x 0.3 + -26.7x = 81 + 27x + -27x Combine like terms: 27x + -27x = 0 0.3 + -26.7x = 81 + 0 0.3 + -26.7x = 81 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -26.7x = 81 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -26.7x = 81 + -0.3 -26.7x = 81 + -0.3 Combine like terms: 81 + -0.3 = 80.7 -26.7x = 80.7 Divide each side by '-26.7'. x = -3.02247191 Simplifying x = -3.02247191
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