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