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Simplifying 0.3(9x + 3) = 3x + 1 Reorder the terms: 0.3(3 + 9x) = 3x + 1 (3 * 0.3 + 9x * 0.3) = 3x + 1 (0.9 + 2.7x) = 3x + 1 Reorder the terms: 0.9 + 2.7x = 1 + 3x Solving 0.9 + 2.7x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.9 + 2.7x + -3x = 1 + 3x + -3x Combine like terms: 2.7x + -3x = -0.3x 0.9 + -0.3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 0.9 + -0.3x = 1 + 0 0.9 + -0.3x = 1 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.3x = 1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.3x = 1 + -0.9 -0.3x = 1 + -0.9 Combine like terms: 1 + -0.9 = 0.1 -0.3x = 0.1 Divide each side by '-0.3'. x = -0.3333333333 Simplifying x = -0.3333333333
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