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Simplifying 5(x) + 3(x) = 7(x + 9) Combine like terms: 5x + 3x = 8x 8x = 7(x + 9) Reorder the terms: 8x = 7(9 + x) 8x = (9 * 7 + x * 7) 8x = (63 + 7x) Solving 8x = 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. 8x + -7x = 63 + 7x + -7x Combine like terms: 8x + -7x = 1x 1x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 1x = 63 + 0 1x = 63 Divide each side by '1'. x = 63 Simplifying x = 63
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