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Simplifying 4(5 + -1x) = 2(x + 5) + 6x (5 * 4 + -1x * 4) = 2(x + 5) + 6x (20 + -4x) = 2(x + 5) + 6x Reorder the terms: 20 + -4x = 2(5 + x) + 6x 20 + -4x = (5 * 2 + x * 2) + 6x 20 + -4x = (10 + 2x) + 6x Combine like terms: 2x + 6x = 8x 20 + -4x = 10 + 8x Solving 20 + -4x = 10 + 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. 20 + -4x + -8x = 10 + 8x + -8x Combine like terms: -4x + -8x = -12x 20 + -12x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -12x = 10 + 0 20 + -12x = 10 Add '-20' to each side of the equation. 20 + -20 + -12x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 10 + -20 -12x = 10 + -20 Combine like terms: 10 + -20 = -10 -12x = -10 Divide each side by '-12'. x = 0.8333333333 Simplifying x = 0.8333333333
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