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Simplifying 5(6x + -3) = 6(-2x + 3) + 9 Reorder the terms: 5(-3 + 6x) = 6(-2x + 3) + 9 (-3 * 5 + 6x * 5) = 6(-2x + 3) + 9 (-15 + 30x) = 6(-2x + 3) + 9 Reorder the terms: -15 + 30x = 6(3 + -2x) + 9 -15 + 30x = (3 * 6 + -2x * 6) + 9 -15 + 30x = (18 + -12x) + 9 Reorder the terms: -15 + 30x = 18 + 9 + -12x Combine like terms: 18 + 9 = 27 -15 + 30x = 27 + -12x Solving -15 + 30x = 27 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + 30x + 12x = 27 + -12x + 12x Combine like terms: 30x + 12x = 42x -15 + 42x = 27 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 42x = 27 + 0 -15 + 42x = 27 Add '15' to each side of the equation. -15 + 15 + 42x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 42x = 27 + 15 42x = 27 + 15 Combine like terms: 27 + 15 = 42 42x = 42 Divide each side by '42'. x = 1 Simplifying x = 1
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