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Simplifying 6 + -8x = 5x + -10x + -12 Reorder the terms: 6 + -8x = -12 + 5x + -10x Combine like terms: 5x + -10x = -5x 6 + -8x = -12 + -5x Solving 6 + -8x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -8x + 5x = -12 + -5x + 5x Combine like terms: -8x + 5x = -3x 6 + -3x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -3x = -12 + 0 6 + -3x = -12 Add '-6' to each side of the equation. 6 + -6 + -3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -12 + -6 -3x = -12 + -6 Combine like terms: -12 + -6 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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