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Simplifying -105 = 3x + -3(5x + 7) Reorder the terms: -105 = 3x + -3(7 + 5x) -105 = 3x + (7 * -3 + 5x * -3) -105 = 3x + (-21 + -15x) Reorder the terms: -105 = -21 + 3x + -15x Combine like terms: 3x + -15x = -12x -105 = -21 + -12x Solving -105 = -21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -105 + 12x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 -105 + 12x = -21 + 0 -105 + 12x = -21 Add '105' to each side of the equation. -105 + 105 + 12x = -21 + 105 Combine like terms: -105 + 105 = 0 0 + 12x = -21 + 105 12x = -21 + 105 Combine like terms: -21 + 105 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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