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Simplifying 3x + 2(x + -1) = 4 + -1(5x + 26) Reorder the terms: 3x + 2(-1 + x) = 4 + -1(5x + 26) 3x + (-1 * 2 + x * 2) = 4 + -1(5x + 26) 3x + (-2 + 2x) = 4 + -1(5x + 26) Reorder the terms: -2 + 3x + 2x = 4 + -1(5x + 26) Combine like terms: 3x + 2x = 5x -2 + 5x = 4 + -1(5x + 26) Reorder the terms: -2 + 5x = 4 + -1(26 + 5x) -2 + 5x = 4 + (26 * -1 + 5x * -1) -2 + 5x = 4 + (-26 + -5x) Combine like terms: 4 + -26 = -22 -2 + 5x = -22 + -5x Solving -2 + 5x = -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. -2 + 5x + 5x = -22 + -5x + 5x Combine like terms: 5x + 5x = 10x -2 + 10x = -22 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 10x = -22 + 0 -2 + 10x = -22 Add '2' to each side of the equation. -2 + 2 + 10x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -22 + 2 10x = -22 + 2 Combine like terms: -22 + 2 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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