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Simplifying 0.4x + -0.2 = 0.5 + -0.6(9 + -2x) Reorder the terms: -0.2 + 0.4x = 0.5 + -0.6(9 + -2x) -0.2 + 0.4x = 0.5 + (9 * -0.6 + -2x * -0.6) -0.2 + 0.4x = 0.5 + (-5.4 + 1.2x) Combine like terms: 0.5 + -5.4 = -4.9 -0.2 + 0.4x = -4.9 + 1.2x Solving -0.2 + 0.4x = -4.9 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -0.2 + 0.4x + -1.2x = -4.9 + 1.2x + -1.2x Combine like terms: 0.4x + -1.2x = -0.8x -0.2 + -0.8x = -4.9 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.2 + -0.8x = -4.9 + 0.0 -0.2 + -0.8x = -4.9 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.8x = -4.9 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.8x = -4.9 + 0.2 -0.8x = -4.9 + 0.2 Combine like terms: -4.9 + 0.2 = -4.7 -0.8x = -4.7 Divide each side by '-0.8'. x = 5.875 Simplifying x = 5.875
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