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Simplifying -7(0.2x + 0.4) + -1.8 = 0.4 Reorder the terms: -7(0.4 + 0.2x) + -1.8 = 0.4 (0.4 * -7 + 0.2x * -7) + -1.8 = 0.4 (-2.8 + -1.4x) + -1.8 = 0.4 Reorder the terms: -2.8 + -1.8 + -1.4x = 0.4 Combine like terms: -2.8 + -1.8 = -4.6 -4.6 + -1.4x = 0.4 Solving -4.6 + -1.4x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6' to each side of the equation. -4.6 + 4.6 + -1.4x = 0.4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -1.4x = 0.4 + 4.6 -1.4x = 0.4 + 4.6 Combine like terms: 0.4 + 4.6 = 5 -1.4x = 5 Divide each side by '-1.4'. x = -3.571428571 Simplifying x = -3.571428571
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