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Simplifying (-1x + 3) + -1(7 + -4x) = 5x + 2(x + 1) Reorder the terms: (3 + -1x) + -1(7 + -4x) = 5x + 2(x + 1) Remove parenthesis around (3 + -1x) 3 + -1x + -1(7 + -4x) = 5x + 2(x + 1) 3 + -1x + (7 * -1 + -4x * -1) = 5x + 2(x + 1) 3 + -1x + (-7 + 4x) = 5x + 2(x + 1) Reorder the terms: 3 + -7 + -1x + 4x = 5x + 2(x + 1) Combine like terms: 3 + -7 = -4 -4 + -1x + 4x = 5x + 2(x + 1) Combine like terms: -1x + 4x = 3x -4 + 3x = 5x + 2(x + 1) Reorder the terms: -4 + 3x = 5x + 2(1 + x) -4 + 3x = 5x + (1 * 2 + x * 2) -4 + 3x = 5x + (2 + 2x) Reorder the terms: -4 + 3x = 2 + 5x + 2x Combine like terms: 5x + 2x = 7x -4 + 3x = 2 + 7x Solving -4 + 3x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 3x + -7x = 2 + 7x + -7x Combine like terms: 3x + -7x = -4x -4 + -4x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -4x = 2 + 0 -4 + -4x = 2 Add '4' to each side of the equation. -4 + 4 + -4x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 2 + 4 -4x = 2 + 4 Combine like terms: 2 + 4 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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