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Simplifying 9x + -4(x + 2) = x + 20 Reorder the terms: 9x + -4(2 + x) = x + 20 9x + (2 * -4 + x * -4) = x + 20 9x + (-8 + -4x) = x + 20 Reorder the terms: -8 + 9x + -4x = x + 20 Combine like terms: 9x + -4x = 5x -8 + 5x = x + 20 Reorder the terms: -8 + 5x = 20 + x Solving -8 + 5x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 5x + -1x = 20 + x + -1x Combine like terms: 5x + -1x = 4x -8 + 4x = 20 + x + -1x Combine like terms: x + -1x = 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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