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Simplifying 3 + -2(4 + -1x) = 5(x + 1) + 2 3 + (4 * -2 + -1x * -2) = 5(x + 1) + 2 3 + (-8 + 2x) = 5(x + 1) + 2 Combine like terms: 3 + -8 = -5 -5 + 2x = 5(x + 1) + 2 Reorder the terms: -5 + 2x = 5(1 + x) + 2 -5 + 2x = (1 * 5 + x * 5) + 2 -5 + 2x = (5 + 5x) + 2 Reorder the terms: -5 + 2x = 5 + 2 + 5x Combine like terms: 5 + 2 = 7 -5 + 2x = 7 + 5x Solving -5 + 2x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x -5 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -3x = 7 + 0 -5 + -3x = 7 Add '5' to each side of the equation. -5 + 5 + -3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 7 + 5 -3x = 7 + 5 Combine like terms: 7 + 5 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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