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Simplifying 3 + -1(5x + 8) = 2 + 4(x + 1) Reorder the terms: 3 + -1(8 + 5x) = 2 + 4(x + 1) 3 + (8 * -1 + 5x * -1) = 2 + 4(x + 1) 3 + (-8 + -5x) = 2 + 4(x + 1) Combine like terms: 3 + -8 = -5 -5 + -5x = 2 + 4(x + 1) Reorder the terms: -5 + -5x = 2 + 4(1 + x) -5 + -5x = 2 + (1 * 4 + x * 4) -5 + -5x = 2 + (4 + 4x) Combine like terms: 2 + 4 = 6 -5 + -5x = 6 + 4x Solving -5 + -5x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -5x + -4x = 6 + 4x + -4x Combine like terms: -5x + -4x = -9x -5 + -9x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -9x = 6 + 0 -5 + -9x = 6 Add '5' to each side of the equation. -5 + 5 + -9x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 6 + 5 -9x = 6 + 5 Combine like terms: 6 + 5 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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