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Simplifying 3(3x + 14) = 2(x + 21) Reorder the terms: 3(14 + 3x) = 2(x + 21) (14 * 3 + 3x * 3) = 2(x + 21) (42 + 9x) = 2(x + 21) Reorder the terms: 42 + 9x = 2(21 + x) 42 + 9x = (21 * 2 + x * 2) 42 + 9x = (42 + 2x) Add '-42' to each side of the equation. 42 + -42 + 9x = 42 + -42 + 2x Combine like terms: 42 + -42 = 0 0 + 9x = 42 + -42 + 2x 9x = 42 + -42 + 2x Combine like terms: 42 + -42 = 0 9x = 0 + 2x 9x = 2x Solving 9x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9x + -2x = 2x + -2x Combine like terms: 9x + -2x = 7x 7x = 2x + -2x Combine like terms: 2x + -2x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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