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Simplifying 2(x + -1) + 4(5 + -1x) + x = (x + -1) Reorder the terms: 2(-1 + x) + 4(5 + -1x) + x = (x + -1) (-1 * 2 + x * 2) + 4(5 + -1x) + x = (x + -1) (-2 + 2x) + 4(5 + -1x) + x = (x + -1) -2 + 2x + (5 * 4 + -1x * 4) + x = (x + -1) -2 + 2x + (20 + -4x) + x = (x + -1) Reorder the terms: -2 + 20 + 2x + -4x + x = (x + -1) Combine like terms: -2 + 20 = 18 18 + 2x + -4x + x = (x + -1) Combine like terms: 2x + -4x = -2x 18 + -2x + x = (x + -1) Combine like terms: -2x + x = -1x 18 + -1x = (x + -1) Reorder the terms: 18 + -1x = (-1 + x) Remove parenthesis around (-1 + x) 18 + -1x = -1 + x Solving 18 + -1x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + -1x + -1x = -1 + x + -1x Combine like terms: -1x + -1x = -2x 18 + -2x = -1 + x + -1x Combine like terms: x + -1x = 0 18 + -2x = -1 + 0 18 + -2x = -1 Add '-18' to each side of the equation. 18 + -18 + -2x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -1 + -18 -2x = -1 + -18 Combine like terms: -1 + -18 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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