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Simplifying -5x + -21 + -8x + -7 + 9x + 20 = -6x + 12 Reorder the terms: -21 + -7 + 20 + -5x + -8x + 9x = -6x + 12 Combine like terms: -21 + -7 = -28 -28 + 20 + -5x + -8x + 9x = -6x + 12 Combine like terms: -28 + 20 = -8 -8 + -5x + -8x + 9x = -6x + 12 Combine like terms: -5x + -8x = -13x -8 + -13x + 9x = -6x + 12 Combine like terms: -13x + 9x = -4x -8 + -4x = -6x + 12 Reorder the terms: -8 + -4x = 12 + -6x Solving -8 + -4x = 12 + -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. -8 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x -8 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 2x = 12 + 0 -8 + 2x = 12 Add '8' to each side of the equation. -8 + 8 + 2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 12 + 8 2x = 12 + 8 Combine like terms: 12 + 8 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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