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Simplifying 4(3x + -5) = 6(4x + 2) Reorder the terms: 4(-5 + 3x) = 6(4x + 2) (-5 * 4 + 3x * 4) = 6(4x + 2) (-20 + 12x) = 6(4x + 2) Reorder the terms: -20 + 12x = 6(2 + 4x) -20 + 12x = (2 * 6 + 4x * 6) -20 + 12x = (12 + 24x) Solving -20 + 12x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -20 + 12x + -24x = 12 + 24x + -24x Combine like terms: 12x + -24x = -12x -20 + -12x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -20 + -12x = 12 + 0 -20 + -12x = 12 Add '20' to each side of the equation. -20 + 20 + -12x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = 12 + 20 -12x = 12 + 20 Combine like terms: 12 + 20 = 32 -12x = 32 Divide each side by '-12'. x = -2.666666667 Simplifying x = -2.666666667
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