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Simplifying 5x + 1 = 2(2x + -4) + 9 Reorder the terms: 1 + 5x = 2(2x + -4) + 9 Reorder the terms: 1 + 5x = 2(-4 + 2x) + 9 1 + 5x = (-4 * 2 + 2x * 2) + 9 1 + 5x = (-8 + 4x) + 9 Reorder the terms: 1 + 5x = -8 + 9 + 4x Combine like terms: -8 + 9 = 1 1 + 5x = 1 + 4x Add '-1' to each side of the equation. 1 + -1 + 5x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 5x = 1 + -1 + 4x 5x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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