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Simplifying 3x + -1(x + 1) = -2 + 5(x + -4) Reorder the terms: 3x + -1(1 + x) = -2 + 5(x + -4) 3x + (1 * -1 + x * -1) = -2 + 5(x + -4) 3x + (-1 + -1x) = -2 + 5(x + -4) Reorder the terms: -1 + 3x + -1x = -2 + 5(x + -4) Combine like terms: 3x + -1x = 2x -1 + 2x = -2 + 5(x + -4) Reorder the terms: -1 + 2x = -2 + 5(-4 + x) -1 + 2x = -2 + (-4 * 5 + x * 5) -1 + 2x = -2 + (-20 + 5x) Combine like terms: -2 + -20 = -22 -1 + 2x = -22 + 5x Solving -1 + 2x = -22 + 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. -1 + 2x + -5x = -22 + 5x + -5x Combine like terms: 2x + -5x = -3x -1 + -3x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -3x = -22 + 0 -1 + -3x = -22 Add '1' to each side of the equation. -1 + 1 + -3x = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -22 + 1 -3x = -22 + 1 Combine like terms: -22 + 1 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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