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Simplifying 8(7x + 5) = 2(x + -7) Reorder the terms: 8(5 + 7x) = 2(x + -7) (5 * 8 + 7x * 8) = 2(x + -7) (40 + 56x) = 2(x + -7) Reorder the terms: 40 + 56x = 2(-7 + x) 40 + 56x = (-7 * 2 + x * 2) 40 + 56x = (-14 + 2x) Solving 40 + 56x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 56x + -2x = -14 + 2x + -2x Combine like terms: 56x + -2x = 54x 40 + 54x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 54x = -14 + 0 40 + 54x = -14 Add '-40' to each side of the equation. 40 + -40 + 54x = -14 + -40 Combine like terms: 40 + -40 = 0 0 + 54x = -14 + -40 54x = -14 + -40 Combine like terms: -14 + -40 = -54 54x = -54 Divide each side by '54'. x = -1 Simplifying x = -1
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