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Simplifying 5x + 8 + -12x = -6x + 2 + -3 Reorder the terms: 8 + 5x + -12x = -6x + 2 + -3 Combine like terms: 5x + -12x = -7x 8 + -7x = -6x + 2 + -3 Reorder the terms: 8 + -7x = 2 + -3 + -6x Combine like terms: 2 + -3 = -1 8 + -7x = -1 + -6x Solving 8 + -7x = -1 + -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 + -7x + 6x = -1 + -6x + 6x Combine like terms: -7x + 6x = -1x 8 + -1x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + -1x = -1 + 0 8 + -1x = -1 Add '-8' to each side of the equation. 8 + -8 + -1x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -1 + -8 -1x = -1 + -8 Combine like terms: -1 + -8 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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