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Simplifying 7(8x + -2) + 6(x + 4) = -52 Reorder the terms: 7(-2 + 8x) + 6(x + 4) = -52 (-2 * 7 + 8x * 7) + 6(x + 4) = -52 (-14 + 56x) + 6(x + 4) = -52 Reorder the terms: -14 + 56x + 6(4 + x) = -52 -14 + 56x + (4 * 6 + x * 6) = -52 -14 + 56x + (24 + 6x) = -52 Reorder the terms: -14 + 24 + 56x + 6x = -52 Combine like terms: -14 + 24 = 10 10 + 56x + 6x = -52 Combine like terms: 56x + 6x = 62x 10 + 62x = -52 Solving 10 + 62x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 62x = -52 + -10 Combine like terms: 10 + -10 = 0 0 + 62x = -52 + -10 62x = -52 + -10 Combine like terms: -52 + -10 = -62 62x = -62 Divide each side by '62'. x = -1 Simplifying x = -1
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