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Simplifying -2(x + 9) + x = -6(9 + -1x) Reorder the terms: -2(9 + x) + x = -6(9 + -1x) (9 * -2 + x * -2) + x = -6(9 + -1x) (-18 + -2x) + x = -6(9 + -1x) Combine like terms: -2x + x = -1x -18 + -1x = -6(9 + -1x) -18 + -1x = (9 * -6 + -1x * -6) -18 + -1x = (-54 + 6x) Solving -18 + -1x = -54 + 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. -18 + -1x + -6x = -54 + 6x + -6x Combine like terms: -1x + -6x = -7x -18 + -7x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -7x = -54 + 0 -18 + -7x = -54 Add '18' to each side of the equation. -18 + 18 + -7x = -54 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = -54 + 18 -7x = -54 + 18 Combine like terms: -54 + 18 = -36 -7x = -36 Divide each side by '-7'. x = 5.142857143 Simplifying x = 5.142857143
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