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Simplifying 7(x + -2) + -2x = 6(x + -1) Reorder the terms: 7(-2 + x) + -2x = 6(x + -1) (-2 * 7 + x * 7) + -2x = 6(x + -1) (-14 + 7x) + -2x = 6(x + -1) Combine like terms: 7x + -2x = 5x -14 + 5x = 6(x + -1) Reorder the terms: -14 + 5x = 6(-1 + x) -14 + 5x = (-1 * 6 + x * 6) -14 + 5x = (-6 + 6x) Solving -14 + 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. -14 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -14 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -1x = -6 + 0 -14 + -1x = -6 Add '14' to each side of the equation. -14 + 14 + -1x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -6 + 14 -1x = -6 + 14 Combine like terms: -6 + 14 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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