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Simplifying -9(2x + 5) + 27 = 90 + -9x + 72 Reorder the terms: -9(5 + 2x) + 27 = 90 + -9x + 72 (5 * -9 + 2x * -9) + 27 = 90 + -9x + 72 (-45 + -18x) + 27 = 90 + -9x + 72 Reorder the terms: -45 + 27 + -18x = 90 + -9x + 72 Combine like terms: -45 + 27 = -18 -18 + -18x = 90 + -9x + 72 Reorder the terms: -18 + -18x = 90 + 72 + -9x Combine like terms: 90 + 72 = 162 -18 + -18x = 162 + -9x Solving -18 + -18x = 162 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -18 + -18x + 9x = 162 + -9x + 9x Combine like terms: -18x + 9x = -9x -18 + -9x = 162 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + -9x = 162 + 0 -18 + -9x = 162 Add '18' to each side of the equation. -18 + 18 + -9x = 162 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 162 + 18 -9x = 162 + 18 Combine like terms: 162 + 18 = 180 -9x = 180 Divide each side by '-9'. x = -20 Simplifying x = -20
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