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Simplifying x + 6 = 9(2x + 3) + -4x Reorder the terms: 6 + x = 9(2x + 3) + -4x Reorder the terms: 6 + x = 9(3 + 2x) + -4x 6 + x = (3 * 9 + 2x * 9) + -4x 6 + x = (27 + 18x) + -4x Combine like terms: 18x + -4x = 14x 6 + x = 27 + 14x Solving 6 + x = 27 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + x + -14x = 27 + 14x + -14x Combine like terms: x + -14x = -13x 6 + -13x = 27 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -13x = 27 + 0 6 + -13x = 27 Add '-6' to each side of the equation. 6 + -6 + -13x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 27 + -6 -13x = 27 + -6 Combine like terms: 27 + -6 = 21 -13x = 21 Divide each side by '-13'. x = -1.615384615 Simplifying x = -1.615384615
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