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