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Simplifying (x + -1) + -4x = 5 + -1(x + 7) Reorder the terms: (-1 + x) + -4x = 5 + -1(x + 7) Remove parenthesis around (-1 + x) -1 + x + -4x = 5 + -1(x + 7) Combine like terms: x + -4x = -3x -1 + -3x = 5 + -1(x + 7) Reorder the terms: -1 + -3x = 5 + -1(7 + x) -1 + -3x = 5 + (7 * -1 + x * -1) -1 + -3x = 5 + (-7 + -1x) Combine like terms: 5 + -7 = -2 -1 + -3x = -2 + -1x Solving -1 + -3x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + -3x + x = -2 + -1x + x Combine like terms: -3x + x = -2x -1 + -2x = -2 + -1x + x Combine like terms: -1x + x = 0 -1 + -2x = -2 + 0 -1 + -2x = -2 Add '1' to each side of the equation. -1 + 1 + -2x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -2 + 1 -2x = -2 + 1 Combine like terms: -2 + 1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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