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Simplifying -9(x + 3) + 4x + 5 = 8x + 12 Reorder the terms: -9(3 + x) + 4x + 5 = 8x + 12 (3 * -9 + x * -9) + 4x + 5 = 8x + 12 (-27 + -9x) + 4x + 5 = 8x + 12 Reorder the terms: -27 + 5 + -9x + 4x = 8x + 12 Combine like terms: -27 + 5 = -22 -22 + -9x + 4x = 8x + 12 Combine like terms: -9x + 4x = -5x -22 + -5x = 8x + 12 Reorder the terms: -22 + -5x = 12 + 8x Solving -22 + -5x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -22 + -5x + -8x = 12 + 8x + -8x Combine like terms: -5x + -8x = -13x -22 + -13x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + -13x = 12 + 0 -22 + -13x = 12 Add '22' to each side of the equation. -22 + 22 + -13x = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -13x = 12 + 22 -13x = 12 + 22 Combine like terms: 12 + 22 = 34 -13x = 34 Divide each side by '-13'. x = -2.615384615 Simplifying x = -2.615384615
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