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Simplifying 1.5(x + 5) = 0.33x + 0.25 Reorder the terms: 1.5(5 + x) = 0.33x + 0.25 (5 * 1.5 + x * 1.5) = 0.33x + 0.25 (7.5 + 1.5x) = 0.33x + 0.25 Reorder the terms: 7.5 + 1.5x = 0.25 + 0.33x Solving 7.5 + 1.5x = 0.25 + 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. 7.5 + 1.5x + -0.33x = 0.25 + 0.33x + -0.33x Combine like terms: 1.5x + -0.33x = 1.17x 7.5 + 1.17x = 0.25 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 7.5 + 1.17x = 0.25 + 0.00 7.5 + 1.17x = 0.25 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 1.17x = 0.25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1.17x = 0.25 + -7.5 1.17x = 0.25 + -7.5 Combine like terms: 0.25 + -7.5 = -7.25 1.17x = -7.25 Divide each side by '1.17'. x = -6.196581197 Simplifying x = -6.196581197
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