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Simplifying 3(x + 8) = 7(x + 9) Reorder the terms: 3(8 + x) = 7(x + 9) (8 * 3 + x * 3) = 7(x + 9) (24 + 3x) = 7(x + 9) Reorder the terms: 24 + 3x = 7(9 + x) 24 + 3x = (9 * 7 + x * 7) 24 + 3x = (63 + 7x) Solving 24 + 3x = 63 + 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. 24 + 3x + -7x = 63 + 7x + -7x Combine like terms: 3x + -7x = -4x 24 + -4x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -4x = 63 + 0 24 + -4x = 63 Add '-24' to each side of the equation. 24 + -24 + -4x = 63 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 63 + -24 -4x = 63 + -24 Combine like terms: 63 + -24 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75
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