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Simplifying 0.5(x + 2) = 0.33x + -6 Reorder the terms: 0.5(2 + x) = 0.33x + -6 (2 * 0.5 + x * 0.5) = 0.33x + -6 (1 + 0.5x) = 0.33x + -6 Reorder the terms: 1 + 0.5x = -6 + 0.33x Solving 1 + 0.5x = -6 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 1 + 0.5x + -0.33x = -6 + 0.33x + -0.33x Combine like terms: 0.5x + -0.33x = 0.17x 1 + 0.17x = -6 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 1 + 0.17x = -6 + 0.00 1 + 0.17x = -6 Add '-1' to each side of the equation. 1 + -1 + 0.17x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 0.17x = -6 + -1 0.17x = -6 + -1 Combine like terms: -6 + -1 = -7 0.17x = -7 Divide each side by '0.17'. x = -41.17647059 Simplifying x = -41.17647059
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