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Simplifying 105 = 3x + 4(-5x + -12) Reorder the terms: 105 = 3x + 4(-12 + -5x) 105 = 3x + (-12 * 4 + -5x * 4) 105 = 3x + (-48 + -20x) Reorder the terms: 105 = -48 + 3x + -20x Combine like terms: 3x + -20x = -17x 105 = -48 + -17x Solving 105 = -48 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 105 + 17x = -48 + -17x + 17x Combine like terms: -17x + 17x = 0 105 + 17x = -48 + 0 105 + 17x = -48 Add '-105' to each side of the equation. 105 + -105 + 17x = -48 + -105 Combine like terms: 105 + -105 = 0 0 + 17x = -48 + -105 17x = -48 + -105 Combine like terms: -48 + -105 = -153 17x = -153 Divide each side by '17'. x = -9 Simplifying x = -9
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