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Simplifying 6(4x + 9) = 3(3x + -7) Reorder the terms: 6(9 + 4x) = 3(3x + -7) (9 * 6 + 4x * 6) = 3(3x + -7) (54 + 24x) = 3(3x + -7) Reorder the terms: 54 + 24x = 3(-7 + 3x) 54 + 24x = (-7 * 3 + 3x * 3) 54 + 24x = (-21 + 9x) Solving 54 + 24x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 54 + 24x + -9x = -21 + 9x + -9x Combine like terms: 24x + -9x = 15x 54 + 15x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 54 + 15x = -21 + 0 54 + 15x = -21 Add '-54' to each side of the equation. 54 + -54 + 15x = -21 + -54 Combine like terms: 54 + -54 = 0 0 + 15x = -21 + -54 15x = -21 + -54 Combine like terms: -21 + -54 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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