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Simplifying 3 + -2(x + 4) = -3(4x + -5) Reorder the terms: 3 + -2(4 + x) = -3(4x + -5) 3 + (4 * -2 + x * -2) = -3(4x + -5) 3 + (-8 + -2x) = -3(4x + -5) Combine like terms: 3 + -8 = -5 -5 + -2x = -3(4x + -5) Reorder the terms: -5 + -2x = -3(-5 + 4x) -5 + -2x = (-5 * -3 + 4x * -3) -5 + -2x = (15 + -12x) Solving -5 + -2x = 15 + -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. -5 + -2x + 12x = 15 + -12x + 12x Combine like terms: -2x + 12x = 10x -5 + 10x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 10x = 15 + 0 -5 + 10x = 15 Add '5' to each side of the equation. -5 + 5 + 10x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 15 + 5 10x = 15 + 5 Combine like terms: 15 + 5 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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