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Simplifying 5(3x + -4) = 6(2x + 3) Reorder the terms: 5(-4 + 3x) = 6(2x + 3) (-4 * 5 + 3x * 5) = 6(2x + 3) (-20 + 15x) = 6(2x + 3) Reorder the terms: -20 + 15x = 6(3 + 2x) -20 + 15x = (3 * 6 + 2x * 6) -20 + 15x = (18 + 12x) Solving -20 + 15x = 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. -20 + 15x + -12x = 18 + 12x + -12x Combine like terms: 15x + -12x = 3x -20 + 3x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + 3x = 18 + 0 -20 + 3x = 18 Add '20' to each side of the equation. -20 + 20 + 3x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 18 + 20 3x = 18 + 20 Combine like terms: 18 + 20 = 38 3x = 38 Divide each side by '3'. x = 12.66666667 Simplifying x = 12.66666667
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