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Simplifying 6(6x + -3) = 5(4x + -5) Reorder the terms: 6(-3 + 6x) = 5(4x + -5) (-3 * 6 + 6x * 6) = 5(4x + -5) (-18 + 36x) = 5(4x + -5) Reorder the terms: -18 + 36x = 5(-5 + 4x) -18 + 36x = (-5 * 5 + 4x * 5) -18 + 36x = (-25 + 20x) Solving -18 + 36x = -25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -18 + 36x + -20x = -25 + 20x + -20x Combine like terms: 36x + -20x = 16x -18 + 16x = -25 + 20x + -20x Combine like terms: 20x + -20x = 0 -18 + 16x = -25 + 0 -18 + 16x = -25 Add '18' to each side of the equation. -18 + 18 + 16x = -25 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = -25 + 18 16x = -25 + 18 Combine like terms: -25 + 18 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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