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Simplifying 4(2x + -5(x + -3)) = 6 Reorder the terms: 4(2x + -5(-3 + x)) = 6 4(2x + (-3 * -5 + x * -5)) = 6 4(2x + (15 + -5x)) = 6 Reorder the terms: 4(15 + 2x + -5x) = 6 Combine like terms: 2x + -5x = -3x 4(15 + -3x) = 6 (15 * 4 + -3x * 4) = 6 (60 + -12x) = 6 Solving 60 + -12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -12x = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -12x = 6 + -60 -12x = 6 + -60 Combine like terms: 6 + -60 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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