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Simplifying -7(1 + -12x) + 3 = 11 + 9(-9 + 9x) (1 * -7 + -12x * -7) + 3 = 11 + 9(-9 + 9x) (-7 + 84x) + 3 = 11 + 9(-9 + 9x) Reorder the terms: -7 + 3 + 84x = 11 + 9(-9 + 9x) Combine like terms: -7 + 3 = -4 -4 + 84x = 11 + 9(-9 + 9x) -4 + 84x = 11 + (-9 * 9 + 9x * 9) -4 + 84x = 11 + (-81 + 81x) Combine like terms: 11 + -81 = -70 -4 + 84x = -70 + 81x Solving -4 + 84x = -70 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. -4 + 84x + -81x = -70 + 81x + -81x Combine like terms: 84x + -81x = 3x -4 + 3x = -70 + 81x + -81x Combine like terms: 81x + -81x = 0 -4 + 3x = -70 + 0 -4 + 3x = -70 Add '4' to each side of the equation. -4 + 4 + 3x = -70 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -70 + 4 3x = -70 + 4 Combine like terms: -70 + 4 = -66 3x = -66 Divide each side by '3'. x = -22 Simplifying x = -22
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