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Simplifying -5(6x + 9) = -3(5x + 5) Reorder the terms: -5(9 + 6x) = -3(5x + 5) (9 * -5 + 6x * -5) = -3(5x + 5) (-45 + -30x) = -3(5x + 5) Reorder the terms: -45 + -30x = -3(5 + 5x) -45 + -30x = (5 * -3 + 5x * -3) -45 + -30x = (-15 + -15x) Solving -45 + -30x = -15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -45 + -30x + 15x = -15 + -15x + 15x Combine like terms: -30x + 15x = -15x -45 + -15x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 -45 + -15x = -15 + 0 -45 + -15x = -15 Add '45' to each side of the equation. -45 + 45 + -15x = -15 + 45 Combine like terms: -45 + 45 = 0 0 + -15x = -15 + 45 -15x = -15 + 45 Combine like terms: -15 + 45 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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