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Simplifying 105 + 7x = 7(-3x + 3) Reorder the terms: 105 + 7x = 7(3 + -3x) 105 + 7x = (3 * 7 + -3x * 7) 105 + 7x = (21 + -21x) Solving 105 + 7x = 21 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 105 + 7x + 21x = 21 + -21x + 21x Combine like terms: 7x + 21x = 28x 105 + 28x = 21 + -21x + 21x Combine like terms: -21x + 21x = 0 105 + 28x = 21 + 0 105 + 28x = 21 Add '-105' to each side of the equation. 105 + -105 + 28x = 21 + -105 Combine like terms: 105 + -105 = 0 0 + 28x = 21 + -105 28x = 21 + -105 Combine like terms: 21 + -105 = -84 28x = -84 Divide each side by '28'. x = -3 Simplifying x = -3
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