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Simplifying 1.6x + 6(10x + -20) = 0.1(40x + -10) Reorder the terms: 1.6x + 6(-20 + 10x) = 0.1(40x + -10) 1.6x + (-20 * 6 + 10x * 6) = 0.1(40x + -10) 1.6x + (-120 + 60x) = 0.1(40x + -10) Reorder the terms: -120 + 1.6x + 60x = 0.1(40x + -10) Combine like terms: 1.6x + 60x = 61.6x -120 + 61.6x = 0.1(40x + -10) Reorder the terms: -120 + 61.6x = 0.1(-10 + 40x) -120 + 61.6x = (-10 * 0.1 + 40x * 0.1) -120 + 61.6x = (-1 + 4x) Solving -120 + 61.6x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -120 + 61.6x + -4x = -1 + 4x + -4x Combine like terms: 61.6x + -4x = 57.6x -120 + 57.6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -120 + 57.6x = -1 + 0 -120 + 57.6x = -1 Add '120' to each side of the equation. -120 + 120 + 57.6x = -1 + 120 Combine like terms: -120 + 120 = 0 0 + 57.6x = -1 + 120 57.6x = -1 + 120 Combine like terms: -1 + 120 = 119 57.6x = 119 Divide each side by '57.6'. x = 2.065972222 Simplifying x = 2.065972222
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