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Simplifying 8 + 6(7x + -2) = -3 + -7(6x + -7) Reorder the terms: 8 + 6(-2 + 7x) = -3 + -7(6x + -7) 8 + (-2 * 6 + 7x * 6) = -3 + -7(6x + -7) 8 + (-12 + 42x) = -3 + -7(6x + -7) Combine like terms: 8 + -12 = -4 -4 + 42x = -3 + -7(6x + -7) Reorder the terms: -4 + 42x = -3 + -7(-7 + 6x) -4 + 42x = -3 + (-7 * -7 + 6x * -7) -4 + 42x = -3 + (49 + -42x) Combine like terms: -3 + 49 = 46 -4 + 42x = 46 + -42x Solving -4 + 42x = 46 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -4 + 42x + 42x = 46 + -42x + 42x Combine like terms: 42x + 42x = 84x -4 + 84x = 46 + -42x + 42x Combine like terms: -42x + 42x = 0 -4 + 84x = 46 + 0 -4 + 84x = 46 Add '4' to each side of the equation. -4 + 4 + 84x = 46 + 4 Combine like terms: -4 + 4 = 0 0 + 84x = 46 + 4 84x = 46 + 4 Combine like terms: 46 + 4 = 50 84x = 50 Divide each side by '84'. x = 0.5952380952 Simplifying x = 0.5952380952
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