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Simplifying 4(3x + -5) = 2(x + -5) Reorder the terms: 4(-5 + 3x) = 2(x + -5) (-5 * 4 + 3x * 4) = 2(x + -5) (-20 + 12x) = 2(x + -5) Reorder the terms: -20 + 12x = 2(-5 + x) -20 + 12x = (-5 * 2 + x * 2) -20 + 12x = (-10 + 2x) Solving -20 + 12x = -10 + 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. -20 + 12x + -2x = -10 + 2x + -2x Combine like terms: 12x + -2x = 10x -20 + 10x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 10x = -10 + 0 -20 + 10x = -10 Add '20' to each side of the equation. -20 + 20 + 10x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = -10 + 20 10x = -10 + 20 Combine like terms: -10 + 20 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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