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Simplifying -7(8x + 8) + -8(2x + 6) = 40 Reorder the terms: -7(8 + 8x) + -8(2x + 6) = 40 (8 * -7 + 8x * -7) + -8(2x + 6) = 40 (-56 + -56x) + -8(2x + 6) = 40 Reorder the terms: -56 + -56x + -8(6 + 2x) = 40 -56 + -56x + (6 * -8 + 2x * -8) = 40 -56 + -56x + (-48 + -16x) = 40 Reorder the terms: -56 + -48 + -56x + -16x = 40 Combine like terms: -56 + -48 = -104 -104 + -56x + -16x = 40 Combine like terms: -56x + -16x = -72x -104 + -72x = 40 Solving -104 + -72x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + -72x = 40 + 104 Combine like terms: -104 + 104 = 0 0 + -72x = 40 + 104 -72x = 40 + 104 Combine like terms: 40 + 104 = 144 -72x = 144 Divide each side by '-72'. x = -2 Simplifying x = -2
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