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Simplifying 6x + -36 + 2 = 8x + 16 + -12 Reorder the terms: -36 + 2 + 6x = 8x + 16 + -12 Combine like terms: -36 + 2 = -34 -34 + 6x = 8x + 16 + -12 Reorder the terms: -34 + 6x = 16 + -12 + 8x Combine like terms: 16 + -12 = 4 -34 + 6x = 4 + 8x Solving -34 + 6x = 4 + 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. -34 + 6x + -8x = 4 + 8x + -8x Combine like terms: 6x + -8x = -2x -34 + -2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -2x = 4 + 0 -34 + -2x = 4 Add '34' to each side of the equation. -34 + 34 + -2x = 4 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = 4 + 34 -2x = 4 + 34 Combine like terms: 4 + 34 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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