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Simplifying 3(4 + -2(5x + -3) + -2x) = 8(x + 1) Reorder the terms: 3(4 + -2(-3 + 5x) + -2x) = 8(x + 1) 3(4 + (-3 * -2 + 5x * -2) + -2x) = 8(x + 1) 3(4 + (6 + -10x) + -2x) = 8(x + 1) Combine like terms: 4 + 6 = 10 3(10 + -10x + -2x) = 8(x + 1) Combine like terms: -10x + -2x = -12x 3(10 + -12x) = 8(x + 1) (10 * 3 + -12x * 3) = 8(x + 1) (30 + -36x) = 8(x + 1) Reorder the terms: 30 + -36x = 8(1 + x) 30 + -36x = (1 * 8 + x * 8) 30 + -36x = (8 + 8x) Solving 30 + -36x = 8 + 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. 30 + -36x + -8x = 8 + 8x + -8x Combine like terms: -36x + -8x = -44x 30 + -44x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -44x = 8 + 0 30 + -44x = 8 Add '-30' to each side of the equation. 30 + -30 + -44x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -44x = 8 + -30 -44x = 8 + -30 Combine like terms: 8 + -30 = -22 -44x = -22 Divide each side by '-44'. x = 0.5 Simplifying x = 0.5
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