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Simplifying 0.5 = 4.1 + -2(1.3x + -4) Reorder the terms: 0.5 = 4.1 + -2(-4 + 1.3x) 0.5 = 4.1 + (-4 * -2 + 1.3x * -2) 0.5 = 4.1 + (8 + -2.6x) Combine like terms: 4.1 + 8 = 12.1 0.5 = 12.1 + -2.6x Solving 0.5 = 12.1 + -2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.6x' to each side of the equation. 0.5 + 2.6x = 12.1 + -2.6x + 2.6x Combine like terms: -2.6x + 2.6x = 0.0 0.5 + 2.6x = 12.1 + 0.0 0.5 + 2.6x = 12.1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2.6x = 12.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2.6x = 12.1 + -0.5 2.6x = 12.1 + -0.5 Combine like terms: 12.1 + -0.5 = 11.6 2.6x = 11.6 Divide each side by '2.6'. x = 4.461538462 Simplifying x = 4.461538462
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