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Simplifying 6[5(4 + -1x)] + 2x = 2(4x + 5) + -4 6[(4 * 5 + -1x * 5)] + 2x = 2(4x + 5) + -4 6[(20 + -5x)] + 2x = 2(4x + 5) + -4 [20 * 6 + -5x * 6] + 2x = 2(4x + 5) + -4 [120 + -30x] + 2x = 2(4x + 5) + -4 Combine like terms: -30x + 2x = -28x 120 + -28x = 2(4x + 5) + -4 Reorder the terms: 120 + -28x = 2(5 + 4x) + -4 120 + -28x = (5 * 2 + 4x * 2) + -4 120 + -28x = (10 + 8x) + -4 Reorder the terms: 120 + -28x = 10 + -4 + 8x Combine like terms: 10 + -4 = 6 120 + -28x = 6 + 8x Solving 120 + -28x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 120 + -28x + -8x = 6 + 8x + -8x Combine like terms: -28x + -8x = -36x 120 + -36x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 120 + -36x = 6 + 0 120 + -36x = 6 Add '-120' to each side of the equation. 120 + -120 + -36x = 6 + -120 Combine like terms: 120 + -120 = 0 0 + -36x = 6 + -120 -36x = 6 + -120 Combine like terms: 6 + -120 = -114 -36x = -114 Divide each side by '-36'. x = 3.166666667 Simplifying x = 3.166666667
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