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Simplifying 2(2x + -1) + x = 2(x + 2) + 2(2x + -5) Reorder the terms: 2(-1 + 2x) + x = 2(x + 2) + 2(2x + -5) (-1 * 2 + 2x * 2) + x = 2(x + 2) + 2(2x + -5) (-2 + 4x) + x = 2(x + 2) + 2(2x + -5) Combine like terms: 4x + x = 5x -2 + 5x = 2(x + 2) + 2(2x + -5) Reorder the terms: -2 + 5x = 2(2 + x) + 2(2x + -5) -2 + 5x = (2 * 2 + x * 2) + 2(2x + -5) -2 + 5x = (4 + 2x) + 2(2x + -5) Reorder the terms: -2 + 5x = 4 + 2x + 2(-5 + 2x) -2 + 5x = 4 + 2x + (-5 * 2 + 2x * 2) -2 + 5x = 4 + 2x + (-10 + 4x) Reorder the terms: -2 + 5x = 4 + -10 + 2x + 4x Combine like terms: 4 + -10 = -6 -2 + 5x = -6 + 2x + 4x Combine like terms: 2x + 4x = 6x -2 + 5x = -6 + 6x Solving -2 + 5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -2 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -1x = -6 + 0 -2 + -1x = -6 Add '2' to each side of the equation. -2 + 2 + -1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -6 + 2 -1x = -6 + 2 Combine like terms: -6 + 2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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