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Simplifying 1.5x + 7 = 0.33x + 19 Reorder the terms: 7 + 1.5x = 0.33x + 19 Reorder the terms: 7 + 1.5x = 19 + 0.33x Solving 7 + 1.5x = 19 + 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 + 1.5x + -0.33x = 19 + 0.33x + -0.33x Combine like terms: 1.5x + -0.33x = 1.17x 7 + 1.17x = 19 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 7 + 1.17x = 19 + 0.00 7 + 1.17x = 19 Add '-7' to each side of the equation. 7 + -7 + 1.17x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 1.17x = 19 + -7 1.17x = 19 + -7 Combine like terms: 19 + -7 = 12 1.17x = 12 Divide each side by '1.17'. x = 10.25641026 Simplifying x = 10.25641026
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