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Simplifying 3(4x + 7) = 6(8x + -5) Reorder the terms: 3(7 + 4x) = 6(8x + -5) (7 * 3 + 4x * 3) = 6(8x + -5) (21 + 12x) = 6(8x + -5) Reorder the terms: 21 + 12x = 6(-5 + 8x) 21 + 12x = (-5 * 6 + 8x * 6) 21 + 12x = (-30 + 48x) Solving 21 + 12x = -30 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 21 + 12x + -48x = -30 + 48x + -48x Combine like terms: 12x + -48x = -36x 21 + -36x = -30 + 48x + -48x Combine like terms: 48x + -48x = 0 21 + -36x = -30 + 0 21 + -36x = -30 Add '-21' to each side of the equation. 21 + -21 + -36x = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -36x = -30 + -21 -36x = -30 + -21 Combine like terms: -30 + -21 = -51 -36x = -51 Divide each side by '-36'. x = 1.416666667 Simplifying x = 1.416666667
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