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Simplifying 6x + 5 + -2x + 3 = 12x Reorder the terms: 5 + 3 + 6x + -2x = 12x Combine like terms: 5 + 3 = 8 8 + 6x + -2x = 12x Combine like terms: 6x + -2x = 4x 8 + 4x = 12x Solving 8 + 4x = 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. 8 + 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x 8 + -8x = 12x + -12x Combine like terms: 12x + -12x = 0 8 + -8x = 0 Add '-8' to each side of the equation. 8 + -8 + -8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 0 + -8 -8x = 0 + -8 Combine like terms: 0 + -8 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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