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Simplifying 5x + -45 + -2x + 6 = 2x + -12 + 7x Reorder the terms: -45 + 6 + 5x + -2x = 2x + -12 + 7x Combine like terms: -45 + 6 = -39 -39 + 5x + -2x = 2x + -12 + 7x Combine like terms: 5x + -2x = 3x -39 + 3x = 2x + -12 + 7x Reorder the terms: -39 + 3x = -12 + 2x + 7x Combine like terms: 2x + 7x = 9x -39 + 3x = -12 + 9x Solving -39 + 3x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -39 + 3x + -9x = -12 + 9x + -9x Combine like terms: 3x + -9x = -6x -39 + -6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -39 + -6x = -12 + 0 -39 + -6x = -12 Add '39' to each side of the equation. -39 + 39 + -6x = -12 + 39 Combine like terms: -39 + 39 = 0 0 + -6x = -12 + 39 -6x = -12 + 39 Combine like terms: -12 + 39 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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