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Simplifying 9(x + 5) = 10x + 37 Reorder the terms: 9(5 + x) = 10x + 37 (5 * 9 + x * 9) = 10x + 37 (45 + 9x) = 10x + 37 Reorder the terms: 45 + 9x = 37 + 10x Solving 45 + 9x = 37 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 45 + 9x + -10x = 37 + 10x + -10x Combine like terms: 9x + -10x = -1x 45 + -1x = 37 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -1x = 37 + 0 45 + -1x = 37 Add '-45' to each side of the equation. 45 + -45 + -1x = 37 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 37 + -45 -1x = 37 + -45 Combine like terms: 37 + -45 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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