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Simplifying -105 = -7x + 7(4x + 9) Reorder the terms: -105 = -7x + 7(9 + 4x) -105 = -7x + (9 * 7 + 4x * 7) -105 = -7x + (63 + 28x) Reorder the terms: -105 = 63 + -7x + 28x Combine like terms: -7x + 28x = 21x -105 = 63 + 21x Solving -105 = 63 + 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 + -21x = 63 + 21x + -21x Combine like terms: 21x + -21x = 0 -105 + -21x = 63 + 0 -105 + -21x = 63 Add '105' to each side of the equation. -105 + 105 + -21x = 63 + 105 Combine like terms: -105 + 105 = 0 0 + -21x = 63 + 105 -21x = 63 + 105 Combine like terms: 63 + 105 = 168 -21x = 168 Divide each side by '-21'. x = -8 Simplifying x = -8
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