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Simplifying -1(0.2 + -0.4x) + -0.4 = x + -1.47 (0.2 * -1 + -0.4x * -1) + -0.4 = x + -1.47 (-0.2 + 0.4x) + -0.4 = x + -1.47 Reorder the terms: -0.2 + -0.4 + 0.4x = x + -1.47 Combine like terms: -0.2 + -0.4 = -0.6 -0.6 + 0.4x = x + -1.47 Reorder the terms: -0.6 + 0.4x = -1.47 + x Solving -0.6 + 0.4x = -1.47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.6 + 0.4x + -1x = -1.47 + x + -1x Combine like terms: 0.4x + -1x = -0.6x -0.6 + -0.6x = -1.47 + x + -1x Combine like terms: x + -1x = 0 -0.6 + -0.6x = -1.47 + 0 -0.6 + -0.6x = -1.47 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.6x = -1.47 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.6x = -1.47 + 0.6 -0.6x = -1.47 + 0.6 Combine like terms: -1.47 + 0.6 = -0.87 -0.6x = -0.87 Divide each side by '-0.6'. x = 1.45 Simplifying x = 1.45
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