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Simplifying 6x + 4 + 2x + -6 = 5(x + -2) + 2x + 6 + -1x Reorder the terms: 4 + -6 + 6x + 2x = 5(x + -2) + 2x + 6 + -1x Combine like terms: 4 + -6 = -2 -2 + 6x + 2x = 5(x + -2) + 2x + 6 + -1x Combine like terms: 6x + 2x = 8x -2 + 8x = 5(x + -2) + 2x + 6 + -1x Reorder the terms: -2 + 8x = 5(-2 + x) + 2x + 6 + -1x -2 + 8x = (-2 * 5 + x * 5) + 2x + 6 + -1x -2 + 8x = (-10 + 5x) + 2x + 6 + -1x Reorder the terms: -2 + 8x = -10 + 6 + 5x + 2x + -1x Combine like terms: -10 + 6 = -4 -2 + 8x = -4 + 5x + 2x + -1x Combine like terms: 5x + 2x = 7x -2 + 8x = -4 + 7x + -1x Combine like terms: 7x + -1x = 6x -2 + 8x = -4 + 6x Solving -2 + 8x = -4 + 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 + 8x + -6x = -4 + 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = -4 + 0 -2 + 2x = -4 Add '2' to each side of the equation. -2 + 2 + 2x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -4 + 2 2x = -4 + 2 Combine like terms: -4 + 2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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