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Simplifying -9(x + 3) + 2x + 5 = 6x + 6 Reorder the terms: -9(3 + x) + 2x + 5 = 6x + 6 (3 * -9 + x * -9) + 2x + 5 = 6x + 6 (-27 + -9x) + 2x + 5 = 6x + 6 Reorder the terms: -27 + 5 + -9x + 2x = 6x + 6 Combine like terms: -27 + 5 = -22 -22 + -9x + 2x = 6x + 6 Combine like terms: -9x + 2x = -7x -22 + -7x = 6x + 6 Reorder the terms: -22 + -7x = 6 + 6x Solving -22 + -7x = 6 + 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. -22 + -7x + -6x = 6 + 6x + -6x Combine like terms: -7x + -6x = -13x -22 + -13x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + -13x = 6 + 0 -22 + -13x = 6 Add '22' to each side of the equation. -22 + 22 + -13x = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -13x = 6 + 22 -13x = 6 + 22 Combine like terms: 6 + 22 = 28 -13x = 28 Divide each side by '-13'. x = -2.153846154 Simplifying x = -2.153846154
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