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Simplifying -9(x + -27) + 3(x + 3) = x + -17 Reorder the terms: -9(-27 + x) + 3(x + 3) = x + -17 (-27 * -9 + x * -9) + 3(x + 3) = x + -17 (243 + -9x) + 3(x + 3) = x + -17 Reorder the terms: 243 + -9x + 3(3 + x) = x + -17 243 + -9x + (3 * 3 + x * 3) = x + -17 243 + -9x + (9 + 3x) = x + -17 Reorder the terms: 243 + 9 + -9x + 3x = x + -17 Combine like terms: 243 + 9 = 252 252 + -9x + 3x = x + -17 Combine like terms: -9x + 3x = -6x 252 + -6x = x + -17 Reorder the terms: 252 + -6x = -17 + x Solving 252 + -6x = -17 + 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. 252 + -6x + -1x = -17 + x + -1x Combine like terms: -6x + -1x = -7x 252 + -7x = -17 + x + -1x Combine like terms: x + -1x = 0 252 + -7x = -17 + 0 252 + -7x = -17 Add '-252' to each side of the equation. 252 + -252 + -7x = -17 + -252 Combine like terms: 252 + -252 = 0 0 + -7x = -17 + -252 -7x = -17 + -252 Combine like terms: -17 + -252 = -269 -7x = -269 Divide each side by '-7'. x = 38.42857143 Simplifying x = 38.42857143
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