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Simplifying 4(3x + -9) = 3(2x + -5) Reorder the terms: 4(-9 + 3x) = 3(2x + -5) (-9 * 4 + 3x * 4) = 3(2x + -5) (-36 + 12x) = 3(2x + -5) Reorder the terms: -36 + 12x = 3(-5 + 2x) -36 + 12x = (-5 * 3 + 2x * 3) -36 + 12x = (-15 + 6x) Solving -36 + 12x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 12x + -6x = -15 + 6x + -6x Combine like terms: 12x + -6x = 6x -36 + 6x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 6x = -15 + 0 -36 + 6x = -15 Add '36' to each side of the equation. -36 + 36 + 6x = -15 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -15 + 36 6x = -15 + 36 Combine like terms: -15 + 36 = 21 6x = 21 Divide each side by '6'. x = 3.5 Simplifying x = 3.5
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