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Simplifying 0.33(0.2x + -1) + 0.35x = 0.05(3x + 7) + -1.44 Reorder the terms: 0.33(-1 + 0.2x) + 0.35x = 0.05(3x + 7) + -1.44 (-1 * 0.33 + 0.2x * 0.33) + 0.35x = 0.05(3x + 7) + -1.44 (-0.33 + 0.066x) + 0.35x = 0.05(3x + 7) + -1.44 Combine like terms: 0.066x + 0.35x = 0.416x -0.33 + 0.416x = 0.05(3x + 7) + -1.44 Reorder the terms: -0.33 + 0.416x = 0.05(7 + 3x) + -1.44 -0.33 + 0.416x = (7 * 0.05 + 3x * 0.05) + -1.44 -0.33 + 0.416x = (0.35 + 0.15x) + -1.44 Reorder the terms: -0.33 + 0.416x = 0.35 + -1.44 + 0.15x Combine like terms: 0.35 + -1.44 = -1.09 -0.33 + 0.416x = -1.09 + 0.15x Solving -0.33 + 0.416x = -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. -0.33 + 0.416x + -0.15x = -1.09 + 0.15x + -0.15x Combine like terms: 0.416x + -0.15x = 0.266x -0.33 + 0.266x = -1.09 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.33 + 0.266x = -1.09 + 0.00 -0.33 + 0.266x = -1.09 Add '0.33' to each side of the equation. -0.33 + 0.33 + 0.266x = -1.09 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + 0.266x = -1.09 + 0.33 0.266x = -1.09 + 0.33 Combine like terms: -1.09 + 0.33 = -0.76 0.266x = -0.76 Divide each side by '0.266'. x = -2.857142857 Simplifying x = -2.857142857
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