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Simplifying 9(x + 6) = 2(5x + 21) Reorder the terms: 9(6 + x) = 2(5x + 21) (6 * 9 + x * 9) = 2(5x + 21) (54 + 9x) = 2(5x + 21) Reorder the terms: 54 + 9x = 2(21 + 5x) 54 + 9x = (21 * 2 + 5x * 2) 54 + 9x = (42 + 10x) Solving 54 + 9x = 42 + 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. 54 + 9x + -10x = 42 + 10x + -10x Combine like terms: 9x + -10x = -1x 54 + -1x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 54 + -1x = 42 + 0 54 + -1x = 42 Add '-54' to each side of the equation. 54 + -54 + -1x = 42 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 42 + -54 -1x = 42 + -54 Combine like terms: 42 + -54 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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