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Simplifying 3(x + -1) = 18 + -1(5x + 1) Reorder the terms: 3(-1 + x) = 18 + -1(5x + 1) (-1 * 3 + x * 3) = 18 + -1(5x + 1) (-3 + 3x) = 18 + -1(5x + 1) Reorder the terms: -3 + 3x = 18 + -1(1 + 5x) -3 + 3x = 18 + (1 * -1 + 5x * -1) -3 + 3x = 18 + (-1 + -5x) Combine like terms: 18 + -1 = 17 -3 + 3x = 17 + -5x Solving -3 + 3x = 17 + -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. -3 + 3x + 5x = 17 + -5x + 5x Combine like terms: 3x + 5x = 8x -3 + 8x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 8x = 17 + 0 -3 + 8x = 17 Add '3' to each side of the equation. -3 + 3 + 8x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 17 + 3 8x = 17 + 3 Combine like terms: 17 + 3 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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