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Simplifying 2x + -4(x + 2) = 5(x + 4) Reorder the terms: 2x + -4(2 + x) = 5(x + 4) 2x + (2 * -4 + x * -4) = 5(x + 4) 2x + (-8 + -4x) = 5(x + 4) Reorder the terms: -8 + 2x + -4x = 5(x + 4) Combine like terms: 2x + -4x = -2x -8 + -2x = 5(x + 4) Reorder the terms: -8 + -2x = 5(4 + x) -8 + -2x = (4 * 5 + x * 5) -8 + -2x = (20 + 5x) Solving -8 + -2x = 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. -8 + -2x + -5x = 20 + 5x + -5x Combine like terms: -2x + -5x = -7x -8 + -7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -7x = 20 + 0 -8 + -7x = 20 Add '8' to each side of the equation. -8 + 8 + -7x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 20 + 8 -7x = 20 + 8 Combine like terms: 20 + 8 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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