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Simplifying 2x + 2(x + -4) = 5x + 9 Reorder the terms: 2x + 2(-4 + x) = 5x + 9 2x + (-4 * 2 + x * 2) = 5x + 9 2x + (-8 + 2x) = 5x + 9 Reorder the terms: -8 + 2x + 2x = 5x + 9 Combine like terms: 2x + 2x = 4x -8 + 4x = 5x + 9 Reorder the terms: -8 + 4x = 9 + 5x Solving -8 + 4x = 9 + 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 + 4x + -5x = 9 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = 9 + 0 -8 + -1x = 9 Add '8' to each side of the equation. -8 + 8 + -1x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 9 + 8 -1x = 9 + 8 Combine like terms: 9 + 8 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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