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