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Simplifying (0.4x + -1.8) + -1(1.5x + 1) + -1(-4x + -0.8) = 3.8 Reorder the terms: (-1.8 + 0.4x) + -1(1.5x + 1) + -1(-4x + -0.8) = 3.8 Remove parenthesis around (-1.8 + 0.4x) -1.8 + 0.4x + -1(1.5x + 1) + -1(-4x + -0.8) = 3.8 Reorder the terms: -1.8 + 0.4x + -1(1 + 1.5x) + -1(-4x + -0.8) = 3.8 -1.8 + 0.4x + (1 * -1 + 1.5x * -1) + -1(-4x + -0.8) = 3.8 -1.8 + 0.4x + (-1 + -1.5x) + -1(-4x + -0.8) = 3.8 Reorder the terms: -1.8 + 0.4x + -1 + -1.5x + -1(-0.8 + -4x) = 3.8 -1.8 + 0.4x + -1 + -1.5x + (-0.8 * -1 + -4x * -1) = 3.8 -1.8 + 0.4x + -1 + -1.5x + (0.8 + 4x) = 3.8 Reorder the terms: -1.8 + -1 + 0.8 + 0.4x + -1.5x + 4x = 3.8 Combine like terms: -1.8 + -1 = -2.8 -2.8 + 0.8 + 0.4x + -1.5x + 4x = 3.8 Combine like terms: -2.8 + 0.8 = -2 -2 + 0.4x + -1.5x + 4x = 3.8 Combine like terms: 0.4x + -1.5x = -1.1x -2 + -1.1x + 4x = 3.8 Combine like terms: -1.1x + 4x = 2.9x -2 + 2.9x = 3.8 Solving -2 + 2.9x = 3.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2.9x = 3.8 + 2 Combine like terms: -2 + 2 = 0 0 + 2.9x = 3.8 + 2 2.9x = 3.8 + 2 Combine like terms: 3.8 + 2 = 5.8 2.9x = 5.8 Divide each side by '2.9'. x = 2 Simplifying x = 2
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