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Simplifying 8(x + 3) = 5(x + 7) Reorder the terms: 8(3 + x) = 5(x + 7) (3 * 8 + x * 8) = 5(x + 7) (24 + 8x) = 5(x + 7) Reorder the terms: 24 + 8x = 5(7 + x) 24 + 8x = (7 * 5 + x * 5) 24 + 8x = (35 + 5x) Solving 24 + 8x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 8x + -5x = 35 + 5x + -5x Combine like terms: 8x + -5x = 3x 24 + 3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 3x = 35 + 0 24 + 3x = 35 Add '-24' to each side of the equation. 24 + -24 + 3x = 35 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 35 + -24 3x = 35 + -24 Combine like terms: 35 + -24 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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