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Simplifying 6(4x + -3) + -32 = 4(3x + -5) Reorder the terms: 6(-3 + 4x) + -32 = 4(3x + -5) (-3 * 6 + 4x * 6) + -32 = 4(3x + -5) (-18 + 24x) + -32 = 4(3x + -5) Reorder the terms: -18 + -32 + 24x = 4(3x + -5) Combine like terms: -18 + -32 = -50 -50 + 24x = 4(3x + -5) Reorder the terms: -50 + 24x = 4(-5 + 3x) -50 + 24x = (-5 * 4 + 3x * 4) -50 + 24x = (-20 + 12x) Solving -50 + 24x = -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. -50 + 24x + -12x = -20 + 12x + -12x Combine like terms: 24x + -12x = 12x -50 + 12x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -50 + 12x = -20 + 0 -50 + 12x = -20 Add '50' to each side of the equation. -50 + 50 + 12x = -20 + 50 Combine like terms: -50 + 50 = 0 0 + 12x = -20 + 50 12x = -20 + 50 Combine like terms: -20 + 50 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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