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Simplifying 1022 = 7(-12x + 38) Reorder the terms: 1022 = 7(38 + -12x) 1022 = (38 * 7 + -12x * 7) 1022 = (266 + -84x) Solving 1022 = 266 + -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 = 266 + -84x + 84x Combine like terms: -84x + 84x = 0 1022 + 84x = 266 + 0 1022 + 84x = 266 Add '-1022' to each side of the equation. 1022 + -1022 + 84x = 266 + -1022 Combine like terms: 1022 + -1022 = 0 0 + 84x = 266 + -1022 84x = 266 + -1022 Combine like terms: 266 + -1022 = -756 84x = -756 Divide each side by '84'. x = -9 Simplifying x = -9
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