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Simplifying 3(4x + -5) = (2x + -5) Reorder the terms: 3(-5 + 4x) = (2x + -5) (-5 * 3 + 4x * 3) = (2x + -5) (-15 + 12x) = (2x + -5) Reorder the terms: -15 + 12x = (-5 + 2x) Remove parenthesis around (-5 + 2x) -15 + 12x = -5 + 2x Solving -15 + 12x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 12x + -2x = -5 + 2x + -2x Combine like terms: 12x + -2x = 10x -15 + 10x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 10x = -5 + 0 -15 + 10x = -5 Add '15' to each side of the equation. -15 + 15 + 10x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = -5 + 15 10x = -5 + 15 Combine like terms: -5 + 15 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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