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Simplifying -105 = 7x + 2(x + -12) Reorder the terms: -105 = 7x + 2(-12 + x) -105 = 7x + (-12 * 2 + x * 2) -105 = 7x + (-24 + 2x) Reorder the terms: -105 = -24 + 7x + 2x Combine like terms: 7x + 2x = 9x -105 = -24 + 9x Solving -105 = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -105 + -9x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 -105 + -9x = -24 + 0 -105 + -9x = -24 Add '105' to each side of the equation. -105 + 105 + -9x = -24 + 105 Combine like terms: -105 + 105 = 0 0 + -9x = -24 + 105 -9x = -24 + 105 Combine like terms: -24 + 105 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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