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Simplifying 10x + -1(20 + -40x + -60) = 5x + -3(4x + -2) Reorder the terms: 10x + -1(20 + -60 + -40x) = 5x + -3(4x + -2) Combine like terms: 20 + -60 = -40 10x + -1(-40 + -40x) = 5x + -3(4x + -2) 10x + (-40 * -1 + -40x * -1) = 5x + -3(4x + -2) 10x + (40 + 40x) = 5x + -3(4x + -2) Reorder the terms: 40 + 10x + 40x = 5x + -3(4x + -2) Combine like terms: 10x + 40x = 50x 40 + 50x = 5x + -3(4x + -2) Reorder the terms: 40 + 50x = 5x + -3(-2 + 4x) 40 + 50x = 5x + (-2 * -3 + 4x * -3) 40 + 50x = 5x + (6 + -12x) Reorder the terms: 40 + 50x = 6 + 5x + -12x Combine like terms: 5x + -12x = -7x 40 + 50x = 6 + -7x Solving 40 + 50x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 40 + 50x + 7x = 6 + -7x + 7x Combine like terms: 50x + 7x = 57x 40 + 57x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 57x = 6 + 0 40 + 57x = 6 Add '-40' to each side of the equation. 40 + -40 + 57x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 57x = 6 + -40 57x = 6 + -40 Combine like terms: 6 + -40 = -34 57x = -34 Divide each side by '57'. x = -0.5964912281 Simplifying x = -0.5964912281
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