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Simplifying 2x + 2 + -3x + -6 = 36 + 6x Reorder the terms: 2 + -6 + 2x + -3x = 36 + 6x Combine like terms: 2 + -6 = -4 -4 + 2x + -3x = 36 + 6x Combine like terms: 2x + -3x = -1x -4 + -1x = 36 + 6x Solving -4 + -1x = 36 + 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. -4 + -1x + -6x = 36 + 6x + -6x Combine like terms: -1x + -6x = -7x -4 + -7x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -7x = 36 + 0 -4 + -7x = 36 Add '4' to each side of the equation. -4 + 4 + -7x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 36 + 4 -7x = 36 + 4 Combine like terms: 36 + 4 = 40 -7x = 40 Divide each side by '-7'. x = -5.714285714 Simplifying x = -5.714285714
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