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Simplifying (x + -7) + -1x = 2x + -21 Reorder the terms: (-7 + x) + -1x = 2x + -21 Remove parenthesis around (-7 + x) -7 + x + -1x = 2x + -21 Combine like terms: x + -1x = 0 -7 + 0 = 2x + -21 -7 = 2x + -21 Reorder the terms: -7 = -21 + 2x Solving -7 = -21 + 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 + -2x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -2x = -21 + 0 -7 + -2x = -21 Add '7' to each side of the equation. -7 + 7 + -2x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -21 + 7 -2x = -21 + 7 Combine like terms: -21 + 7 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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