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Simplifying 3x + -1x + -5 = 2(2x + 2) + -9 Reorder the terms: -5 + 3x + -1x = 2(2x + 2) + -9 Combine like terms: 3x + -1x = 2x -5 + 2x = 2(2x + 2) + -9 Reorder the terms: -5 + 2x = 2(2 + 2x) + -9 -5 + 2x = (2 * 2 + 2x * 2) + -9 -5 + 2x = (4 + 4x) + -9 Reorder the terms: -5 + 2x = 4 + -9 + 4x Combine like terms: 4 + -9 = -5 -5 + 2x = -5 + 4x Add '5' to each side of the equation. -5 + 5 + 2x = -5 + 5 + 4x Combine like terms: -5 + 5 = 0 0 + 2x = -5 + 5 + 4x 2x = -5 + 5 + 4x Combine like terms: -5 + 5 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 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. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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