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Simplifying (x + -27) + 3(x + 3) = 9(x + -3) Reorder the terms: (-27 + x) + 3(x + 3) = 9(x + -3) Remove parenthesis around (-27 + x) -27 + x + 3(x + 3) = 9(x + -3) Reorder the terms: -27 + x + 3(3 + x) = 9(x + -3) -27 + x + (3 * 3 + x * 3) = 9(x + -3) -27 + x + (9 + 3x) = 9(x + -3) Reorder the terms: -27 + 9 + x + 3x = 9(x + -3) Combine like terms: -27 + 9 = -18 -18 + x + 3x = 9(x + -3) Combine like terms: x + 3x = 4x -18 + 4x = 9(x + -3) Reorder the terms: -18 + 4x = 9(-3 + x) -18 + 4x = (-3 * 9 + x * 9) -18 + 4x = (-27 + 9x) Solving -18 + 4x = -27 + 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 + 4x + -9x = -27 + 9x + -9x Combine like terms: 4x + -9x = -5x -18 + -5x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -5x = -27 + 0 -18 + -5x = -27 Add '18' to each side of the equation. -18 + 18 + -5x = -27 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -27 + 18 -5x = -27 + 18 Combine like terms: -27 + 18 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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