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Simplifying 6(4x + 12) = 3(9x + -7) Reorder the terms: 6(12 + 4x) = 3(9x + -7) (12 * 6 + 4x * 6) = 3(9x + -7) (72 + 24x) = 3(9x + -7) Reorder the terms: 72 + 24x = 3(-7 + 9x) 72 + 24x = (-7 * 3 + 9x * 3) 72 + 24x = (-21 + 27x) Solving 72 + 24x = -21 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 72 + 24x + -27x = -21 + 27x + -27x Combine like terms: 24x + -27x = -3x 72 + -3x = -21 + 27x + -27x Combine like terms: 27x + -27x = 0 72 + -3x = -21 + 0 72 + -3x = -21 Add '-72' to each side of the equation. 72 + -72 + -3x = -21 + -72 Combine like terms: 72 + -72 = 0 0 + -3x = -21 + -72 -3x = -21 + -72 Combine like terms: -21 + -72 = -93 -3x = -93 Divide each side by '-3'. x = 31 Simplifying x = 31
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