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Simplifying 2x + -6 + -3 + -2 = 8x + 7 + 5 + 9 + 12 Reorder the terms: -6 + -3 + -2 + 2x = 8x + 7 + 5 + 9 + 12 Combine like terms: -6 + -3 = -9 -9 + -2 + 2x = 8x + 7 + 5 + 9 + 12 Combine like terms: -9 + -2 = -11 -11 + 2x = 8x + 7 + 5 + 9 + 12 Reorder the terms: -11 + 2x = 7 + 5 + 9 + 12 + 8x Combine like terms: 7 + 5 = 12 -11 + 2x = 12 + 9 + 12 + 8x Combine like terms: 12 + 9 = 21 -11 + 2x = 21 + 12 + 8x Combine like terms: 21 + 12 = 33 -11 + 2x = 33 + 8x Solving -11 + 2x = 33 + 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. -11 + 2x + -8x = 33 + 8x + -8x Combine like terms: 2x + -8x = -6x -11 + -6x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -6x = 33 + 0 -11 + -6x = 33 Add '11' to each side of the equation. -11 + 11 + -6x = 33 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 33 + 11 -6x = 33 + 11 Combine like terms: 33 + 11 = 44 -6x = 44 Divide each side by '-6'. x = -7.333333333 Simplifying x = -7.333333333
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