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Simplifying 0.5x + -0.1 = 0.4 + -0.6(9 + -2x) Reorder the terms: -0.1 + 0.5x = 0.4 + -0.6(9 + -2x) -0.1 + 0.5x = 0.4 + (9 * -0.6 + -2x * -0.6) -0.1 + 0.5x = 0.4 + (-5.4 + 1.2x) Combine like terms: 0.4 + -5.4 = -5 -0.1 + 0.5x = -5 + 1.2x Solving -0.1 + 0.5x = -5 + 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. -0.1 + 0.5x + -1.2x = -5 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x -0.1 + -0.7x = -5 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.1 + -0.7x = -5 + 0.0 -0.1 + -0.7x = -5 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.7x = -5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.7x = -5 + 0.1 -0.7x = -5 + 0.1 Combine like terms: -5 + 0.1 = -4.9 -0.7x = -4.9 Divide each side by '-0.7'. x = 7 Simplifying x = 7
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