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Simplifying 3(2x + -3) = 9(4x + -21) Reorder the terms: 3(-3 + 2x) = 9(4x + -21) (-3 * 3 + 2x * 3) = 9(4x + -21) (-9 + 6x) = 9(4x + -21) Reorder the terms: -9 + 6x = 9(-21 + 4x) -9 + 6x = (-21 * 9 + 4x * 9) -9 + 6x = (-189 + 36x) Solving -9 + 6x = -189 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -9 + 6x + -36x = -189 + 36x + -36x Combine like terms: 6x + -36x = -30x -9 + -30x = -189 + 36x + -36x Combine like terms: 36x + -36x = 0 -9 + -30x = -189 + 0 -9 + -30x = -189 Add '9' to each side of the equation. -9 + 9 + -30x = -189 + 9 Combine like terms: -9 + 9 = 0 0 + -30x = -189 + 9 -30x = -189 + 9 Combine like terms: -189 + 9 = -180 -30x = -180 Divide each side by '-30'. x = 6 Simplifying x = 6
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