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Simplifying 103 = x + (x + -7) + 2(x + -7) Reorder the terms: 103 = x + (-7 + x) + 2(x + -7) Remove parenthesis around (-7 + x) 103 = x + -7 + x + 2(x + -7) Reorder the terms: 103 = x + -7 + x + 2(-7 + x) 103 = x + -7 + x + (-7 * 2 + x * 2) 103 = x + -7 + x + (-14 + 2x) Reorder the terms: 103 = -7 + -14 + x + x + 2x Combine like terms: -7 + -14 = -21 103 = -21 + x + x + 2x Combine like terms: x + x = 2x 103 = -21 + 2x + 2x Combine like terms: 2x + 2x = 4x 103 = -21 + 4x Solving 103 = -21 + 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. 103 + -4x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 103 + -4x = -21 + 0 103 + -4x = -21 Add '-103' to each side of the equation. 103 + -103 + -4x = -21 + -103 Combine like terms: 103 + -103 = 0 0 + -4x = -21 + -103 -4x = -21 + -103 Combine like terms: -21 + -103 = -124 -4x = -124 Divide each side by '-4'. x = 31 Simplifying x = 31
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