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Simplifying 0.33(0.2 + -1) + 0.35x = 0.05(3x + 7) + -1.44 Combine like terms: 0.2 + -1 = -0.8 0.33(-0.8) + 0.35x = 0.05(3x + 7) + -1.44 Multiply 0.33 * -0.8 -0.264 + 0.35x = 0.05(3x + 7) + -1.44 Reorder the terms: -0.264 + 0.35x = 0.05(7 + 3x) + -1.44 -0.264 + 0.35x = (7 * 0.05 + 3x * 0.05) + -1.44 -0.264 + 0.35x = (0.35 + 0.15x) + -1.44 Reorder the terms: -0.264 + 0.35x = 0.35 + -1.44 + 0.15x Combine like terms: 0.35 + -1.44 = -1.09 -0.264 + 0.35x = -1.09 + 0.15x Solving -0.264 + 0.35x = -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. -0.264 + 0.35x + -0.15x = -1.09 + 0.15x + -0.15x Combine like terms: 0.35x + -0.15x = 0.2x -0.264 + 0.2x = -1.09 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.264 + 0.2x = -1.09 + 0.00 -0.264 + 0.2x = -1.09 Add '0.264' to each side of the equation. -0.264 + 0.264 + 0.2x = -1.09 + 0.264 Combine like terms: -0.264 + 0.264 = 0.000 0.000 + 0.2x = -1.09 + 0.264 0.2x = -1.09 + 0.264 Combine like terms: -1.09 + 0.264 = -0.826 0.2x = -0.826 Divide each side by '0.2'. x = -4.13 Simplifying x = -4.13
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