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Simplifying 8(x + 5) = 7(x + 18) Reorder the terms: 8(5 + x) = 7(x + 18) (5 * 8 + x * 8) = 7(x + 18) (40 + 8x) = 7(x + 18) Reorder the terms: 40 + 8x = 7(18 + x) 40 + 8x = (18 * 7 + x * 7) 40 + 8x = (126 + 7x) Solving 40 + 8x = 126 + 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. 40 + 8x + -7x = 126 + 7x + -7x Combine like terms: 8x + -7x = 1x 40 + 1x = 126 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 1x = 126 + 0 40 + 1x = 126 Add '-40' to each side of the equation. 40 + -40 + 1x = 126 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 126 + -40 1x = 126 + -40 Combine like terms: 126 + -40 = 86 1x = 86 Divide each side by '1'. x = 86 Simplifying x = 86
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