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Simplifying 5x + -18 + -1(x + -1) = 7 + -1(2x + 1) Reorder the terms: 5x + -18 + -1(-1 + x) = 7 + -1(2x + 1) 5x + -18 + (-1 * -1 + x * -1) = 7 + -1(2x + 1) 5x + -18 + (1 + -1x) = 7 + -1(2x + 1) Reorder the terms: -18 + 1 + 5x + -1x = 7 + -1(2x + 1) Combine like terms: -18 + 1 = -17 -17 + 5x + -1x = 7 + -1(2x + 1) Combine like terms: 5x + -1x = 4x -17 + 4x = 7 + -1(2x + 1) Reorder the terms: -17 + 4x = 7 + -1(1 + 2x) -17 + 4x = 7 + (1 * -1 + 2x * -1) -17 + 4x = 7 + (-1 + -2x) Combine like terms: 7 + -1 = 6 -17 + 4x = 6 + -2x Solving -17 + 4x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -17 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x -17 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 6x = 6 + 0 -17 + 6x = 6 Add '17' to each side of the equation. -17 + 17 + 6x = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 6 + 17 6x = 6 + 17 Combine like terms: 6 + 17 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333
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