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Simplifying 8 + -5x + 2 + -12 + 12x = 6x + -15x + 8 + 15x Reorder the terms: 8 + 2 + -12 + -5x + 12x = 6x + -15x + 8 + 15x Combine like terms: 8 + 2 = 10 10 + -12 + -5x + 12x = 6x + -15x + 8 + 15x Combine like terms: 10 + -12 = -2 -2 + -5x + 12x = 6x + -15x + 8 + 15x Combine like terms: -5x + 12x = 7x -2 + 7x = 6x + -15x + 8 + 15x Reorder the terms: -2 + 7x = 8 + 6x + -15x + 15x Combine like terms: 6x + -15x = -9x -2 + 7x = 8 + -9x + 15x Combine like terms: -9x + 15x = 6x -2 + 7x = 8 + 6x Solving -2 + 7x = 8 + 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. -2 + 7x + -6x = 8 + 6x + -6x Combine like terms: 7x + -6x = 1x -2 + 1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 1x = 8 + 0 -2 + 1x = 8 Add '2' to each side of the equation. -2 + 2 + 1x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 8 + 2 1x = 8 + 2 Combine like terms: 8 + 2 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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