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Simplifying -4(3x + -5) = 3(2x + -9) Reorder the terms: -4(-5 + 3x) = 3(2x + -9) (-5 * -4 + 3x * -4) = 3(2x + -9) (20 + -12x) = 3(2x + -9) Reorder the terms: 20 + -12x = 3(-9 + 2x) 20 + -12x = (-9 * 3 + 2x * 3) 20 + -12x = (-27 + 6x) Solving 20 + -12x = -27 + 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. 20 + -12x + -6x = -27 + 6x + -6x Combine like terms: -12x + -6x = -18x 20 + -18x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -18x = -27 + 0 20 + -18x = -27 Add '-20' to each side of the equation. 20 + -20 + -18x = -27 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = -27 + -20 -18x = -27 + -20 Combine like terms: -27 + -20 = -47 -18x = -47 Divide each side by '-18'. x = 2.611111111 Simplifying x = 2.611111111
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