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Simplifying 3(5x + -3) = 6(6x + -5) Reorder the terms: 3(-3 + 5x) = 6(6x + -5) (-3 * 3 + 5x * 3) = 6(6x + -5) (-9 + 15x) = 6(6x + -5) Reorder the terms: -9 + 15x = 6(-5 + 6x) -9 + 15x = (-5 * 6 + 6x * 6) -9 + 15x = (-30 + 36x) Solving -9 + 15x = -30 + 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 + 15x + -36x = -30 + 36x + -36x Combine like terms: 15x + -36x = -21x -9 + -21x = -30 + 36x + -36x Combine like terms: 36x + -36x = 0 -9 + -21x = -30 + 0 -9 + -21x = -30 Add '9' to each side of the equation. -9 + 9 + -21x = -30 + 9 Combine like terms: -9 + 9 = 0 0 + -21x = -30 + 9 -21x = -30 + 9 Combine like terms: -30 + 9 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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