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Simplifying 5(x + -1) = 3 + -1(3x + 7) + (4 + -2x) Reorder the terms: 5(-1 + x) = 3 + -1(3x + 7) + (4 + -2x) (-1 * 5 + x * 5) = 3 + -1(3x + 7) + (4 + -2x) (-5 + 5x) = 3 + -1(3x + 7) + (4 + -2x) Reorder the terms: -5 + 5x = 3 + -1(7 + 3x) + (4 + -2x) -5 + 5x = 3 + (7 * -1 + 3x * -1) + (4 + -2x) -5 + 5x = 3 + (-7 + -3x) + (4 + -2x) Remove parenthesis around (4 + -2x) -5 + 5x = 3 + -7 + -3x + 4 + -2x Reorder the terms: -5 + 5x = 3 + -7 + 4 + -3x + -2x Combine like terms: 3 + -7 = -4 -5 + 5x = -4 + 4 + -3x + -2x Combine like terms: -4 + 4 = 0 -5 + 5x = 0 + -3x + -2x -5 + 5x = -3x + -2x Combine like terms: -3x + -2x = -5x -5 + 5x = -5x Solving -5 + 5x = -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. -5 + 5x + 5x = -5x + 5x Combine like terms: 5x + 5x = 10x -5 + 10x = -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 10x = 0 Add '5' to each side of the equation. -5 + 5 + 10x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 0 + 5 10x = 0 + 5 Combine like terms: 0 + 5 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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