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Simplifying 4.1(x + -0.2) + 3.3x = 0.4(x + -1) + 2.1 Reorder the terms: 4.1(-0.2 + x) + 3.3x = 0.4(x + -1) + 2.1 (-0.2 * 4.1 + x * 4.1) + 3.3x = 0.4(x + -1) + 2.1 (-0.82 + 4.1x) + 3.3x = 0.4(x + -1) + 2.1 Combine like terms: 4.1x + 3.3x = 7.4x -0.82 + 7.4x = 0.4(x + -1) + 2.1 Reorder the terms: -0.82 + 7.4x = 0.4(-1 + x) + 2.1 -0.82 + 7.4x = (-1 * 0.4 + x * 0.4) + 2.1 -0.82 + 7.4x = (-0.4 + 0.4x) + 2.1 Reorder the terms: -0.82 + 7.4x = -0.4 + 2.1 + 0.4x Combine like terms: -0.4 + 2.1 = 1.7 -0.82 + 7.4x = 1.7 + 0.4x Solving -0.82 + 7.4x = 1.7 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -0.82 + 7.4x + -0.4x = 1.7 + 0.4x + -0.4x Combine like terms: 7.4x + -0.4x = 7x -0.82 + 7x = 1.7 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.82 + 7x = 1.7 + 0.0 -0.82 + 7x = 1.7 Add '0.82' to each side of the equation. -0.82 + 0.82 + 7x = 1.7 + 0.82 Combine like terms: -0.82 + 0.82 = 0.00 0.00 + 7x = 1.7 + 0.82 7x = 1.7 + 0.82 Combine like terms: 1.7 + 0.82 = 2.52 7x = 2.52 Divide each side by '7'. x = 0.36 Simplifying x = 0.36
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