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Simplifying 2(x + -7) + -6 = -2(-9x + 9) + -2x Reorder the terms: 2(-7 + x) + -6 = -2(-9x + 9) + -2x (-7 * 2 + x * 2) + -6 = -2(-9x + 9) + -2x (-14 + 2x) + -6 = -2(-9x + 9) + -2x Reorder the terms: -14 + -6 + 2x = -2(-9x + 9) + -2x Combine like terms: -14 + -6 = -20 -20 + 2x = -2(-9x + 9) + -2x Reorder the terms: -20 + 2x = -2(9 + -9x) + -2x -20 + 2x = (9 * -2 + -9x * -2) + -2x -20 + 2x = (-18 + 18x) + -2x Combine like terms: 18x + -2x = 16x -20 + 2x = -18 + 16x Solving -20 + 2x = -18 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -20 + 2x + -16x = -18 + 16x + -16x Combine like terms: 2x + -16x = -14x -20 + -14x = -18 + 16x + -16x Combine like terms: 16x + -16x = 0 -20 + -14x = -18 + 0 -20 + -14x = -18 Add '20' to each side of the equation. -20 + 20 + -14x = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -14x = -18 + 20 -14x = -18 + 20 Combine like terms: -18 + 20 = 2 -14x = 2 Divide each side by '-14'. x = -0.1428571429 Simplifying x = -0.1428571429
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