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Simplifying 7x + 2(x + -4) = 5x + 20 Reorder the terms: 7x + 2(-4 + x) = 5x + 20 7x + (-4 * 2 + x * 2) = 5x + 20 7x + (-8 + 2x) = 5x + 20 Reorder the terms: -8 + 7x + 2x = 5x + 20 Combine like terms: 7x + 2x = 9x -8 + 9x = 5x + 20 Reorder the terms: -8 + 9x = 20 + 5x Solving -8 + 9x = 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 + 9x + -5x = 20 + 5x + -5x Combine like terms: 9x + -5x = 4x -8 + 4x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 4x = 20 + 0 -8 + 4x = 20 Add '8' to each side of the equation. -8 + 8 + 4x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 20 + 8 4x = 20 + 8 Combine like terms: 20 + 8 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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