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Simplifying 3(x + -2) = 5(x + -4) Reorder the terms: 3(-2 + x) = 5(x + -4) (-2 * 3 + x * 3) = 5(x + -4) (-6 + 3x) = 5(x + -4) Reorder the terms: -6 + 3x = 5(-4 + x) -6 + 3x = (-4 * 5 + x * 5) -6 + 3x = (-20 + 5x) Solving -6 + 3x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 3x + -5x = -20 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = -20 + 0 -6 + -2x = -20 Add '6' to each side of the equation. -6 + 6 + -2x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -20 + 6 -2x = -20 + 6 Combine like terms: -20 + 6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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