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Simplifying -12x + 4122 = -9(1 + 7x) Reorder the terms: 4122 + -12x = -9(1 + 7x) 4122 + -12x = (1 * -9 + 7x * -9) 4122 + -12x = (-9 + -63x) Solving 4122 + -12x = -9 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 4122 + -12x + 63x = -9 + -63x + 63x Combine like terms: -12x + 63x = 51x 4122 + 51x = -9 + -63x + 63x Combine like terms: -63x + 63x = 0 4122 + 51x = -9 + 0 4122 + 51x = -9 Add '-4122' to each side of the equation. 4122 + -4122 + 51x = -9 + -4122 Combine like terms: 4122 + -4122 = 0 0 + 51x = -9 + -4122 51x = -9 + -4122 Combine like terms: -9 + -4122 = -4131 51x = -4131 Divide each side by '51'. x = -81 Simplifying x = -81
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