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Simplifying -2(x + 6) + -5 = 3(2x + 9) Reorder the terms: -2(6 + x) + -5 = 3(2x + 9) (6 * -2 + x * -2) + -5 = 3(2x + 9) (-12 + -2x) + -5 = 3(2x + 9) Reorder the terms: -12 + -5 + -2x = 3(2x + 9) Combine like terms: -12 + -5 = -17 -17 + -2x = 3(2x + 9) Reorder the terms: -17 + -2x = 3(9 + 2x) -17 + -2x = (9 * 3 + 2x * 3) -17 + -2x = (27 + 6x) Solving -17 + -2x = 27 + 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. -17 + -2x + -6x = 27 + 6x + -6x Combine like terms: -2x + -6x = -8x -17 + -8x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -8x = 27 + 0 -17 + -8x = 27 Add '17' to each side of the equation. -17 + 17 + -8x = 27 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 27 + 17 -8x = 27 + 17 Combine like terms: 27 + 17 = 44 -8x = 44 Divide each side by '-8'. x = -5.5 Simplifying x = -5.5
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