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Simplifying 7x + -1(4 + 2x) = 1 + (x + -2) 7x + (4 * -1 + 2x * -1) = 1 + (x + -2) 7x + (-4 + -2x) = 1 + (x + -2) Reorder the terms: -4 + 7x + -2x = 1 + (x + -2) Combine like terms: 7x + -2x = 5x -4 + 5x = 1 + (x + -2) Reorder the terms: -4 + 5x = 1 + (-2 + x) Remove parenthesis around (-2 + x) -4 + 5x = 1 + -2 + x Combine like terms: 1 + -2 = -1 -4 + 5x = -1 + x Solving -4 + 5x = -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. -4 + 5x + -1x = -1 + x + -1x Combine like terms: 5x + -1x = 4x -4 + 4x = -1 + x + -1x Combine like terms: x + -1x = 0 -4 + 4x = -1 + 0 -4 + 4x = -1 Add '4' to each side of the equation. -4 + 4 + 4x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -1 + 4 4x = -1 + 4 Combine like terms: -1 + 4 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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