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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 = 33 15x = 33 Divide each side by '15'. x = 2.2 Simplifying x = 2.2
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