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Simplifying 8(x + 2) + -6(-4 + -7x) = -10 Reorder the terms: 8(2 + x) + -6(-4 + -7x) = -10 (2 * 8 + x * 8) + -6(-4 + -7x) = -10 (16 + 8x) + -6(-4 + -7x) = -10 16 + 8x + (-4 * -6 + -7x * -6) = -10 16 + 8x + (24 + 42x) = -10 Reorder the terms: 16 + 24 + 8x + 42x = -10 Combine like terms: 16 + 24 = 40 40 + 8x + 42x = -10 Combine like terms: 8x + 42x = 50x 40 + 50x = -10 Solving 40 + 50x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 50x = -10 + -40 Combine like terms: 40 + -40 = 0 0 + 50x = -10 + -40 50x = -10 + -40 Combine like terms: -10 + -40 = -50 50x = -50 Divide each side by '50'. x = -1 Simplifying x = -1
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