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Simplifying 4[6 + -1(1 + 2x) + 10] = 2(10 + -3x) 4[6 + (1 * -1 + 2x * -1) + 10] = 2(10 + -3x) 4[6 + (-1 + -2x) + 10] = 2(10 + -3x) Reorder the terms: 4[6 + -1 + 10 + -2x] = 2(10 + -3x) Combine like terms: 6 + -1 = 5 4[5 + 10 + -2x] = 2(10 + -3x) Combine like terms: 5 + 10 = 15 4[15 + -2x] = 2(10 + -3x) [15 * 4 + -2x * 4] = 2(10 + -3x) [60 + -8x] = 2(10 + -3x) 60 + -8x = (10 * 2 + -3x * 2) 60 + -8x = (20 + -6x) Solving 60 + -8x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 60 + -8x + 6x = 20 + -6x + 6x Combine like terms: -8x + 6x = -2x 60 + -2x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 60 + -2x = 20 + 0 60 + -2x = 20 Add '-60' to each side of the equation. 60 + -60 + -2x = 20 + -60 Combine like terms: 60 + -60 = 0 0 + -2x = 20 + -60 -2x = 20 + -60 Combine like terms: 20 + -60 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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