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Simplifying 5(3 + -2x) + -5x = -105 + -3x (3 * 5 + -2x * 5) + -5x = -105 + -3x (15 + -10x) + -5x = -105 + -3x Combine like terms: -10x + -5x = -15x 15 + -15x = -105 + -3x Solving 15 + -15x = -105 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + -15x + 3x = -105 + -3x + 3x Combine like terms: -15x + 3x = -12x 15 + -12x = -105 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + -12x = -105 + 0 15 + -12x = -105 Add '-15' to each side of the equation. 15 + -15 + -12x = -105 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -105 + -15 -12x = -105 + -15 Combine like terms: -105 + -15 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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