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Simplifying 3(x + 10) = 2(3x + 21) Reorder the terms: 3(10 + x) = 2(3x + 21) (10 * 3 + x * 3) = 2(3x + 21) (30 + 3x) = 2(3x + 21) Reorder the terms: 30 + 3x = 2(21 + 3x) 30 + 3x = (21 * 2 + 3x * 2) 30 + 3x = (42 + 6x) Solving 30 + 3x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 3x + -6x = 42 + 6x + -6x Combine like terms: 3x + -6x = -3x 30 + -3x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -3x = 42 + 0 30 + -3x = 42 Add '-30' to each side of the equation. 30 + -30 + -3x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 42 + -30 -3x = 42 + -30 Combine like terms: 42 + -30 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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