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Simplifying -8(7x + -6) + 3(8x + -2) = -86 Reorder the terms: -8(-6 + 7x) + 3(8x + -2) = -86 (-6 * -8 + 7x * -8) + 3(8x + -2) = -86 (48 + -56x) + 3(8x + -2) = -86 Reorder the terms: 48 + -56x + 3(-2 + 8x) = -86 48 + -56x + (-2 * 3 + 8x * 3) = -86 48 + -56x + (-6 + 24x) = -86 Reorder the terms: 48 + -6 + -56x + 24x = -86 Combine like terms: 48 + -6 = 42 42 + -56x + 24x = -86 Combine like terms: -56x + 24x = -32x 42 + -32x = -86 Solving 42 + -32x = -86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -32x = -86 + -42 Combine like terms: 42 + -42 = 0 0 + -32x = -86 + -42 -32x = -86 + -42 Combine like terms: -86 + -42 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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