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Simplifying 3(5x + -2) = 4(3x + -5) Reorder the terms: 3(-2 + 5x) = 4(3x + -5) (-2 * 3 + 5x * 3) = 4(3x + -5) (-6 + 15x) = 4(3x + -5) Reorder the terms: -6 + 15x = 4(-5 + 3x) -6 + 15x = (-5 * 4 + 3x * 4) -6 + 15x = (-20 + 12x) Solving -6 + 15x = -20 + 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. -6 + 15x + -12x = -20 + 12x + -12x Combine like terms: 15x + -12x = 3x -6 + 3x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 3x = -20 + 0 -6 + 3x = -20 Add '6' to each side of the equation. -6 + 6 + 3x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -20 + 6 3x = -20 + 6 Combine like terms: -20 + 6 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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