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Simplifying 8 + -3(2x + 1) = 4(3 + -2x) Reorder the terms: 8 + -3(1 + 2x) = 4(3 + -2x) 8 + (1 * -3 + 2x * -3) = 4(3 + -2x) 8 + (-3 + -6x) = 4(3 + -2x) Combine like terms: 8 + -3 = 5 5 + -6x = 4(3 + -2x) 5 + -6x = (3 * 4 + -2x * 4) 5 + -6x = (12 + -8x) Solving 5 + -6x = 12 + -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. 5 + -6x + 8x = 12 + -8x + 8x Combine like terms: -6x + 8x = 2x 5 + 2x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 2x = 12 + 0 5 + 2x = 12 Add '-5' to each side of the equation. 5 + -5 + 2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 12 + -5 2x = 12 + -5 Combine like terms: 12 + -5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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