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Simplifying 2 + 3(4x + -1) = 8x + 11 Reorder the terms: 2 + 3(-1 + 4x) = 8x + 11 2 + (-1 * 3 + 4x * 3) = 8x + 11 2 + (-3 + 12x) = 8x + 11 Combine like terms: 2 + -3 = -1 -1 + 12x = 8x + 11 Reorder the terms: -1 + 12x = 11 + 8x Solving -1 + 12x = 11 + 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. -1 + 12x + -8x = 11 + 8x + -8x Combine like terms: 12x + -8x = 4x -1 + 4x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 4x = 11 + 0 -1 + 4x = 11 Add '1' to each side of the equation. -1 + 1 + 4x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 11 + 1 4x = 11 + 1 Combine like terms: 11 + 1 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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