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Simplifying 8x + 3 + 3x + -10 = 12x + -6 Reorder the terms: 3 + -10 + 8x + 3x = 12x + -6 Combine like terms: 3 + -10 = -7 -7 + 8x + 3x = 12x + -6 Combine like terms: 8x + 3x = 11x -7 + 11x = 12x + -6 Reorder the terms: -7 + 11x = -6 + 12x Solving -7 + 11x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + 11x + -12x = -6 + 12x + -12x Combine like terms: 11x + -12x = -1x -7 + -1x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -1x = -6 + 0 -7 + -1x = -6 Add '7' to each side of the equation. -7 + 7 + -1x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -6 + 7 -1x = -6 + 7 Combine like terms: -6 + 7 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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