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Simplifying 9.33(0.2x + -1) + 0.35x = 0.05(3x + 7) + -1.44 Reorder the terms: 9.33(-1 + 0.2x) + 0.35x = 0.05(3x + 7) + -1.44 (-1 * 9.33 + 0.2x * 9.33) + 0.35x = 0.05(3x + 7) + -1.44 (-9.33 + 1.866x) + 0.35x = 0.05(3x + 7) + -1.44 Combine like terms: 1.866x + 0.35x = 2.216x -9.33 + 2.216x = 0.05(3x + 7) + -1.44 Reorder the terms: -9.33 + 2.216x = 0.05(7 + 3x) + -1.44 -9.33 + 2.216x = (7 * 0.05 + 3x * 0.05) + -1.44 -9.33 + 2.216x = (0.35 + 0.15x) + -1.44 Reorder the terms: -9.33 + 2.216x = 0.35 + -1.44 + 0.15x Combine like terms: 0.35 + -1.44 = -1.09 -9.33 + 2.216x = -1.09 + 0.15x Solving -9.33 + 2.216x = -1.09 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -9.33 + 2.216x + -0.15x = -1.09 + 0.15x + -0.15x Combine like terms: 2.216x + -0.15x = 2.066x -9.33 + 2.066x = -1.09 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -9.33 + 2.066x = -1.09 + 0.00 -9.33 + 2.066x = -1.09 Add '9.33' to each side of the equation. -9.33 + 9.33 + 2.066x = -1.09 + 9.33 Combine like terms: -9.33 + 9.33 = 0.00 0.00 + 2.066x = -1.09 + 9.33 2.066x = -1.09 + 9.33 Combine like terms: -1.09 + 9.33 = 8.24 2.066x = 8.24 Divide each side by '2.066'. x = 3.988383349 Simplifying x = 3.988383349
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