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Simplifying 0.33(2x + 3) = 3(x + 1) Reorder the terms: 0.33(3 + 2x) = 3(x + 1) (3 * 0.33 + 2x * 0.33) = 3(x + 1) (0.99 + 0.66x) = 3(x + 1) Reorder the terms: 0.99 + 0.66x = 3(1 + x) 0.99 + 0.66x = (1 * 3 + x * 3) 0.99 + 0.66x = (3 + 3x) Solving 0.99 + 0.66x = 3 + 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. 0.99 + 0.66x + -3x = 3 + 3x + -3x Combine like terms: 0.66x + -3x = -2.34x 0.99 + -2.34x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 0.99 + -2.34x = 3 + 0 0.99 + -2.34x = 3 Add '-0.99' to each side of the equation. 0.99 + -0.99 + -2.34x = 3 + -0.99 Combine like terms: 0.99 + -0.99 = 0.00 0.00 + -2.34x = 3 + -0.99 -2.34x = 3 + -0.99 Combine like terms: 3 + -0.99 = 2.01 -2.34x = 2.01 Divide each side by '-2.34'. x = -0.858974359 Simplifying x = -0.858974359
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