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Simplifying 7[7 + -1(-3x + -5)] = 84x + 189 Reorder the terms: 7[7 + -1(-5 + -3x)] = 84x + 189 7[7 + (-5 * -1 + -3x * -1)] = 84x + 189 7[7 + (5 + 3x)] = 84x + 189 Combine like terms: 7 + 5 = 12 7[12 + 3x] = 84x + 189 [12 * 7 + 3x * 7] = 84x + 189 [84 + 21x] = 84x + 189 Reorder the terms: 84 + 21x = 189 + 84x Solving 84 + 21x = 189 + 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. 84 + 21x + -84x = 189 + 84x + -84x Combine like terms: 21x + -84x = -63x 84 + -63x = 189 + 84x + -84x Combine like terms: 84x + -84x = 0 84 + -63x = 189 + 0 84 + -63x = 189 Add '-84' to each side of the equation. 84 + -84 + -63x = 189 + -84 Combine like terms: 84 + -84 = 0 0 + -63x = 189 + -84 -63x = 189 + -84 Combine like terms: 189 + -84 = 105 -63x = 105 Divide each side by '-63'. x = -1.666666667 Simplifying x = -1.666666667
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