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