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Simplifying 2(x + -2) + 4x + -1 = 5(x + -1) + 2 Reorder the terms: 2(-2 + x) + 4x + -1 = 5(x + -1) + 2 (-2 * 2 + x * 2) + 4x + -1 = 5(x + -1) + 2 (-4 + 2x) + 4x + -1 = 5(x + -1) + 2 Reorder the terms: -4 + -1 + 2x + 4x = 5(x + -1) + 2 Combine like terms: -4 + -1 = -5 -5 + 2x + 4x = 5(x + -1) + 2 Combine like terms: 2x + 4x = 6x -5 + 6x = 5(x + -1) + 2 Reorder the terms: -5 + 6x = 5(-1 + x) + 2 -5 + 6x = (-1 * 5 + x * 5) + 2 -5 + 6x = (-5 + 5x) + 2 Reorder the terms: -5 + 6x = -5 + 2 + 5x Combine like terms: -5 + 2 = -3 -5 + 6x = -3 + 5x Solving -5 + 6x = -3 + 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. -5 + 6x + -5x = -3 + 5x + -5x Combine like terms: 6x + -5x = 1x -5 + 1x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 1x = -3 + 0 -5 + 1x = -3 Add '5' to each side of the equation. -5 + 5 + 1x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -3 + 5 1x = -3 + 5 Combine like terms: -3 + 5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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