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Simplifying 0.5 = 4.1x + 2(1.3x + -9) Reorder the terms: 0.5 = 4.1x + 2(-9 + 1.3x) 0.5 = 4.1x + (-9 * 2 + 1.3x * 2) 0.5 = 4.1x + (-18 + 2.6x) Reorder the terms: 0.5 = -18 + 4.1x + 2.6x Combine like terms: 4.1x + 2.6x = 6.7x 0.5 = -18 + 6.7x Solving 0.5 = -18 + 6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7x' to each side of the equation. 0.5 + -6.7x = -18 + 6.7x + -6.7x Combine like terms: 6.7x + -6.7x = 0.0 0.5 + -6.7x = -18 + 0.0 0.5 + -6.7x = -18 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -6.7x = -18 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -6.7x = -18 + -0.5 -6.7x = -18 + -0.5 Combine like terms: -18 + -0.5 = -18.5 -6.7x = -18.5 Divide each side by '-6.7'. x = 2.76119403 Simplifying x = 2.76119403
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