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Simplifying -1(x + -27) + -3(x + 3) = 9(x + 4) Reorder the terms: -1(-27 + x) + -3(x + 3) = 9(x + 4) (-27 * -1 + x * -1) + -3(x + 3) = 9(x + 4) (27 + -1x) + -3(x + 3) = 9(x + 4) Reorder the terms: 27 + -1x + -3(3 + x) = 9(x + 4) 27 + -1x + (3 * -3 + x * -3) = 9(x + 4) 27 + -1x + (-9 + -3x) = 9(x + 4) Reorder the terms: 27 + -9 + -1x + -3x = 9(x + 4) Combine like terms: 27 + -9 = 18 18 + -1x + -3x = 9(x + 4) Combine like terms: -1x + -3x = -4x 18 + -4x = 9(x + 4) Reorder the terms: 18 + -4x = 9(4 + x) 18 + -4x = (4 * 9 + x * 9) 18 + -4x = (36 + 9x) Solving 18 + -4x = 36 + 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 = 36 + 9x + -9x Combine like terms: -4x + -9x = -13x 18 + -13x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -13x = 36 + 0 18 + -13x = 36 Add '-18' to each side of the equation. 18 + -18 + -13x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = 36 + -18 -13x = 36 + -18 Combine like terms: 36 + -18 = 18 -13x = 18 Divide each side by '-13'. x = -1.384615385 Simplifying x = -1.384615385
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