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Simplifying 105 = -2x + 5(7x + -12) Reorder the terms: 105 = -2x + 5(-12 + 7x) 105 = -2x + (-12 * 5 + 7x * 5) 105 = -2x + (-60 + 35x) Reorder the terms: 105 = -60 + -2x + 35x Combine like terms: -2x + 35x = 33x 105 = -60 + 33x Solving 105 = -60 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 105 + -33x = -60 + 33x + -33x Combine like terms: 33x + -33x = 0 105 + -33x = -60 + 0 105 + -33x = -60 Add '-105' to each side of the equation. 105 + -105 + -33x = -60 + -105 Combine like terms: 105 + -105 = 0 0 + -33x = -60 + -105 -33x = -60 + -105 Combine like terms: -60 + -105 = -165 -33x = -165 Divide each side by '-33'. x = 5 Simplifying x = 5
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