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Simplifying 8(x + -1) + 8 = 7(x + 5) Reorder the terms: 8(-1 + x) + 8 = 7(x + 5) (-1 * 8 + x * 8) + 8 = 7(x + 5) (-8 + 8x) + 8 = 7(x + 5) Reorder the terms: -8 + 8 + 8x = 7(x + 5) Combine like terms: -8 + 8 = 0 0 + 8x = 7(x + 5) 8x = 7(x + 5) Reorder the terms: 8x = 7(5 + x) 8x = (5 * 7 + x * 7) 8x = (35 + 7x) Solving 8x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8x + -7x = 35 + 7x + -7x Combine like terms: 8x + -7x = 1x 1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 1x = 35 + 0 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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