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Simplifying 4[6 + -1(1 + 2x)] + 10x = 2(10x + -3) + 8x 4[6 + (1 * -1 + 2x * -1)] + 10x = 2(10x + -3) + 8x 4[6 + (-1 + -2x)] + 10x = 2(10x + -3) + 8x Combine like terms: 6 + -1 = 5 4[5 + -2x] + 10x = 2(10x + -3) + 8x [5 * 4 + -2x * 4] + 10x = 2(10x + -3) + 8x [20 + -8x] + 10x = 2(10x + -3) + 8x Combine like terms: -8x + 10x = 2x 20 + 2x = 2(10x + -3) + 8x Reorder the terms: 20 + 2x = 2(-3 + 10x) + 8x 20 + 2x = (-3 * 2 + 10x * 2) + 8x 20 + 2x = (-6 + 20x) + 8x Combine like terms: 20x + 8x = 28x 20 + 2x = -6 + 28x Solving 20 + 2x = -6 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 20 + 2x + -28x = -6 + 28x + -28x Combine like terms: 2x + -28x = -26x 20 + -26x = -6 + 28x + -28x Combine like terms: 28x + -28x = 0 20 + -26x = -6 + 0 20 + -26x = -6 Add '-20' to each side of the equation. 20 + -20 + -26x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -26x = -6 + -20 -26x = -6 + -20 Combine like terms: -6 + -20 = -26 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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