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Simplifying -2(x + 9) = x + 47 Reorder the terms: -2(9 + x) = x + 47 (9 * -2 + x * -2) = x + 47 (-18 + -2x) = x + 47 Reorder the terms: -18 + -2x = 47 + x Solving -18 + -2x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + -2x + -1x = 47 + x + -1x Combine like terms: -2x + -1x = -3x -18 + -3x = 47 + x + -1x Combine like terms: x + -1x = 0 -18 + -3x = 47 + 0 -18 + -3x = 47 Add '18' to each side of the equation. -18 + 18 + -3x = 47 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = 47 + 18 -3x = 47 + 18 Combine like terms: 47 + 18 = 65 -3x = 65 Divide each side by '-3'. x = -21.66666667 Simplifying x = -21.66666667
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