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Simplifying -1022 = 7(12x + -26) Reorder the terms: -1022 = 7(-26 + 12x) -1022 = (-26 * 7 + 12x * 7) -1022 = (-182 + 84x) Solving -1022 = -182 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -1022 + -84x = -182 + 84x + -84x Combine like terms: 84x + -84x = 0 -1022 + -84x = -182 + 0 -1022 + -84x = -182 Add '1022' to each side of the equation. -1022 + 1022 + -84x = -182 + 1022 Combine like terms: -1022 + 1022 = 0 0 + -84x = -182 + 1022 -84x = -182 + 1022 Combine like terms: -182 + 1022 = 840 -84x = 840 Divide each side by '-84'. x = -10 Simplifying x = -10
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