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Simplifying 7[6 + -1(-6x + -3)] = 84x + 84 Reorder the terms: 7[6 + -1(-3 + -6x)] = 84x + 84 7[6 + (-3 * -1 + -6x * -1)] = 84x + 84 7[6 + (3 + 6x)] = 84x + 84 Combine like terms: 6 + 3 = 9 7[9 + 6x] = 84x + 84 [9 * 7 + 6x * 7] = 84x + 84 [63 + 42x] = 84x + 84 Reorder the terms: 63 + 42x = 84 + 84x Solving 63 + 42x = 84 + 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. 63 + 42x + -84x = 84 + 84x + -84x Combine like terms: 42x + -84x = -42x 63 + -42x = 84 + 84x + -84x Combine like terms: 84x + -84x = 0 63 + -42x = 84 + 0 63 + -42x = 84 Add '-63' to each side of the equation. 63 + -63 + -42x = 84 + -63 Combine like terms: 63 + -63 = 0 0 + -42x = 84 + -63 -42x = 84 + -63 Combine like terms: 84 + -63 = 21 -42x = 21 Divide each side by '-42'. x = -0.5 Simplifying x = -0.5
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