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Simplifying 3(10x + 21) = 3(x + 2) Reorder the terms: 3(21 + 10x) = 3(x + 2) (21 * 3 + 10x * 3) = 3(x + 2) (63 + 30x) = 3(x + 2) Reorder the terms: 63 + 30x = 3(2 + x) 63 + 30x = (2 * 3 + x * 3) 63 + 30x = (6 + 3x) Solving 63 + 30x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 63 + 30x + -3x = 6 + 3x + -3x Combine like terms: 30x + -3x = 27x 63 + 27x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 63 + 27x = 6 + 0 63 + 27x = 6 Add '-63' to each side of the equation. 63 + -63 + 27x = 6 + -63 Combine like terms: 63 + -63 = 0 0 + 27x = 6 + -63 27x = 6 + -63 Combine like terms: 6 + -63 = -57 27x = -57 Divide each side by '27'. x = -2.111111111 Simplifying x = -2.111111111
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