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Simplifying 0.85x + 0.33 = 0.42 + -0.14x + 0.42 Reorder the terms: 0.33 + 0.85x = 0.42 + -0.14x + 0.42 Reorder the terms: 0.33 + 0.85x = 0.42 + 0.42 + -0.14x Combine like terms: 0.42 + 0.42 = 0.84 0.33 + 0.85x = 0.84 + -0.14x Solving 0.33 + 0.85x = 0.84 + -0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.14x' to each side of the equation. 0.33 + 0.85x + 0.14x = 0.84 + -0.14x + 0.14x Combine like terms: 0.85x + 0.14x = 0.99x 0.33 + 0.99x = 0.84 + -0.14x + 0.14x Combine like terms: -0.14x + 0.14x = 0.00 0.33 + 0.99x = 0.84 + 0.00 0.33 + 0.99x = 0.84 Add '-0.33' to each side of the equation. 0.33 + -0.33 + 0.99x = 0.84 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 0.99x = 0.84 + -0.33 0.99x = 0.84 + -0.33 Combine like terms: 0.84 + -0.33 = 0.51 0.99x = 0.51 Divide each side by '0.99'. x = 0.5151515152 Simplifying x = 0.5151515152
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