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Simplifying -6x + 4(6 + -3x) = 3 + -5(4x + -5) -6x + (6 * 4 + -3x * 4) = 3 + -5(4x + -5) -6x + (24 + -12x) = 3 + -5(4x + -5) Reorder the terms: 24 + -6x + -12x = 3 + -5(4x + -5) Combine like terms: -6x + -12x = -18x 24 + -18x = 3 + -5(4x + -5) Reorder the terms: 24 + -18x = 3 + -5(-5 + 4x) 24 + -18x = 3 + (-5 * -5 + 4x * -5) 24 + -18x = 3 + (25 + -20x) Combine like terms: 3 + 25 = 28 24 + -18x = 28 + -20x Solving 24 + -18x = 28 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 24 + -18x + 20x = 28 + -20x + 20x Combine like terms: -18x + 20x = 2x 24 + 2x = 28 + -20x + 20x Combine like terms: -20x + 20x = 0 24 + 2x = 28 + 0 24 + 2x = 28 Add '-24' to each side of the equation. 24 + -24 + 2x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 28 + -24 2x = 28 + -24 Combine like terms: 28 + -24 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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