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Simplifying 4(8x + -7) + -6(4x + -5) = -6 Reorder the terms: 4(-7 + 8x) + -6(4x + -5) = -6 (-7 * 4 + 8x * 4) + -6(4x + -5) = -6 (-28 + 32x) + -6(4x + -5) = -6 Reorder the terms: -28 + 32x + -6(-5 + 4x) = -6 -28 + 32x + (-5 * -6 + 4x * -6) = -6 -28 + 32x + (30 + -24x) = -6 Reorder the terms: -28 + 30 + 32x + -24x = -6 Combine like terms: -28 + 30 = 2 2 + 32x + -24x = -6 Combine like terms: 32x + -24x = 8x 2 + 8x = -6 Solving 2 + 8x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -6 + -2 8x = -6 + -2 Combine like terms: -6 + -2 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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