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Simplifying 0.33(y + 2) + 3x = 7x Reorder the terms: 0.33(2 + y) + 3x = 7x (2 * 0.33 + y * 0.33) + 3x = 7x (0.66 + 0.33y) + 3x = 7x Reorder the terms: 0.66 + 3x + 0.33y = 7x Solving 0.66 + 3x + 0.33y = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0.66 + 3x + -7x + 0.33y = 7x + -7x Combine like terms: 3x + -7x = -4x 0.66 + -4x + 0.33y = 7x + -7x Combine like terms: 7x + -7x = 0 0.66 + -4x + 0.33y = 0 Add '-0.66' to each side of the equation. 0.66 + -4x + -0.66 + 0.33y = 0 + -0.66 Reorder the terms: 0.66 + -0.66 + -4x + 0.33y = 0 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + -4x + 0.33y = 0 + -0.66 -4x + 0.33y = 0 + -0.66 Combine like terms: 0 + -0.66 = -0.66 -4x + 0.33y = -0.66 Add '-0.33y' to each side of the equation. -4x + 0.33y + -0.33y = -0.66 + -0.33y Combine like terms: 0.33y + -0.33y = 0.00 -4x + 0.00 = -0.66 + -0.33y -4x = -0.66 + -0.33y Divide each side by '-4'. x = 0.165 + 0.0825y Simplifying x = 0.165 + 0.0825y
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