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Simplifying 6x + 3 + 2x + -2 = 12x + 10 Reorder the terms: 3 + -2 + 6x + 2x = 12x + 10 Combine like terms: 3 + -2 = 1 1 + 6x + 2x = 12x + 10 Combine like terms: 6x + 2x = 8x 1 + 8x = 12x + 10 Reorder the terms: 1 + 8x = 10 + 12x Solving 1 + 8x = 10 + 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. 1 + 8x + -12x = 10 + 12x + -12x Combine like terms: 8x + -12x = -4x 1 + -4x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -4x = 10 + 0 1 + -4x = 10 Add '-1' to each side of the equation. 1 + -1 + -4x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 10 + -1 -4x = 10 + -1 Combine like terms: 10 + -1 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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