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Simplifying 126 = 7x + -7(-3x + 6) Reorder the terms: 126 = 7x + -7(6 + -3x) 126 = 7x + (6 * -7 + -3x * -7) 126 = 7x + (-42 + 21x) Reorder the terms: 126 = -42 + 7x + 21x Combine like terms: 7x + 21x = 28x 126 = -42 + 28x Solving 126 = -42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 126 + -28x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 126 + -28x = -42 + 0 126 + -28x = -42 Add '-126' to each side of the equation. 126 + -126 + -28x = -42 + -126 Combine like terms: 126 + -126 = 0 0 + -28x = -42 + -126 -28x = -42 + -126 Combine like terms: -42 + -126 = -168 -28x = -168 Divide each side by '-28'. x = 6 Simplifying x = 6
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