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Simplifying 8x + 7 = 9(x + 5) Reorder the terms: 7 + 8x = 9(x + 5) Reorder the terms: 7 + 8x = 9(5 + x) 7 + 8x = (5 * 9 + x * 9) 7 + 8x = (45 + 9x) Solving 7 + 8x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 8x + -9x = 45 + 9x + -9x Combine like terms: 8x + -9x = -1x 7 + -1x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -1x = 45 + 0 7 + -1x = 45 Add '-7' to each side of the equation. 7 + -7 + -1x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 45 + -7 -1x = 45 + -7 Combine like terms: 45 + -7 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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