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Simplifying 8(7x + -7) = 40 + 8x Reorder the terms: 8(-7 + 7x) = 40 + 8x (-7 * 8 + 7x * 8) = 40 + 8x (-56 + 56x) = 40 + 8x Solving -56 + 56x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -56 + 56x + -8x = 40 + 8x + -8x Combine like terms: 56x + -8x = 48x -56 + 48x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -56 + 48x = 40 + 0 -56 + 48x = 40 Add '56' to each side of the equation. -56 + 56 + 48x = 40 + 56 Combine like terms: -56 + 56 = 0 0 + 48x = 40 + 56 48x = 40 + 56 Combine like terms: 40 + 56 = 96 48x = 96 Divide each side by '48'. x = 2 Simplifying x = 2
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