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Simplifying 5(x + -4) = 3(x + -2) Reorder the terms: 5(-4 + x) = 3(x + -2) (-4 * 5 + x * 5) = 3(x + -2) (-20 + 5x) = 3(x + -2) Reorder the terms: -20 + 5x = 3(-2 + x) -20 + 5x = (-2 * 3 + x * 3) -20 + 5x = (-6 + 3x) Solving -20 + 5x = -6 + 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. -20 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -20 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 2x = -6 + 0 -20 + 2x = -6 Add '20' to each side of the equation. -20 + 20 + 2x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -6 + 20 2x = -6 + 20 Combine like terms: -6 + 20 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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