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Simplifying 8x + 9 = 7(x + 7) + 3 Reorder the terms: 9 + 8x = 7(x + 7) + 3 Reorder the terms: 9 + 8x = 7(7 + x) + 3 9 + 8x = (7 * 7 + x * 7) + 3 9 + 8x = (49 + 7x) + 3 Reorder the terms: 9 + 8x = 49 + 3 + 7x Combine like terms: 49 + 3 = 52 9 + 8x = 52 + 7x Solving 9 + 8x = 52 + 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. 9 + 8x + -7x = 52 + 7x + -7x Combine like terms: 8x + -7x = 1x 9 + 1x = 52 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 1x = 52 + 0 9 + 1x = 52 Add '-9' to each side of the equation. 9 + -9 + 1x = 52 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 52 + -9 1x = 52 + -9 Combine like terms: 52 + -9 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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