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Simplifying 2(3x + -5) = 3(4x + 6) Reorder the terms: 2(-5 + 3x) = 3(4x + 6) (-5 * 2 + 3x * 2) = 3(4x + 6) (-10 + 6x) = 3(4x + 6) Reorder the terms: -10 + 6x = 3(6 + 4x) -10 + 6x = (6 * 3 + 4x * 3) -10 + 6x = (18 + 12x) Solving -10 + 6x = 18 + 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. -10 + 6x + -12x = 18 + 12x + -12x Combine like terms: 6x + -12x = -6x -10 + -6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -6x = 18 + 0 -10 + -6x = 18 Add '10' to each side of the equation. -10 + 10 + -6x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 18 + 10 -6x = 18 + 10 Combine like terms: 18 + 10 = 28 -6x = 28 Divide each side by '-6'. x = -4.666666667 Simplifying x = -4.666666667
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