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Simplifying 7[3 + -1(-2x + -6)] = 98x + 315 Reorder the terms: 7[3 + -1(-6 + -2x)] = 98x + 315 7[3 + (-6 * -1 + -2x * -1)] = 98x + 315 7[3 + (6 + 2x)] = 98x + 315 Combine like terms: 3 + 6 = 9 7[9 + 2x] = 98x + 315 [9 * 7 + 2x * 7] = 98x + 315 [63 + 14x] = 98x + 315 Reorder the terms: 63 + 14x = 315 + 98x Solving 63 + 14x = 315 + 98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98x' to each side of the equation. 63 + 14x + -98x = 315 + 98x + -98x Combine like terms: 14x + -98x = -84x 63 + -84x = 315 + 98x + -98x Combine like terms: 98x + -98x = 0 63 + -84x = 315 + 0 63 + -84x = 315 Add '-63' to each side of the equation. 63 + -63 + -84x = 315 + -63 Combine like terms: 63 + -63 = 0 0 + -84x = 315 + -63 -84x = 315 + -63 Combine like terms: 315 + -63 = 252 -84x = 252 Divide each side by '-84'. x = -3 Simplifying x = -3
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