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Simplifying 5(-6 + -3x) = 3(8 + 7x) (-6 * 5 + -3x * 5) = 3(8 + 7x) (-30 + -15x) = 3(8 + 7x) -30 + -15x = (8 * 3 + 7x * 3) -30 + -15x = (24 + 21x) Solving -30 + -15x = 24 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -30 + -15x + -21x = 24 + 21x + -21x Combine like terms: -15x + -21x = -36x -30 + -36x = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 -30 + -36x = 24 + 0 -30 + -36x = 24 Add '30' to each side of the equation. -30 + 30 + -36x = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -36x = 24 + 30 -36x = 24 + 30 Combine like terms: 24 + 30 = 54 -36x = 54 Divide each side by '-36'. x = -1.5 Simplifying x = -1.5
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