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Simplifying 6(3x + 5) = 2(6x + -21) Reorder the terms: 6(5 + 3x) = 2(6x + -21) (5 * 6 + 3x * 6) = 2(6x + -21) (30 + 18x) = 2(6x + -21) Reorder the terms: 30 + 18x = 2(-21 + 6x) 30 + 18x = (-21 * 2 + 6x * 2) 30 + 18x = (-42 + 12x) Solving 30 + 18x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + 18x + -12x = -42 + 12x + -12x Combine like terms: 18x + -12x = 6x 30 + 6x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + 6x = -42 + 0 30 + 6x = -42 Add '-30' to each side of the equation. 30 + -30 + 6x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -42 + -30 6x = -42 + -30 Combine like terms: -42 + -30 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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