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Simplifying 8x + 5 + -2 = 12x + 1 Reorder the terms: 5 + -2 + 8x = 12x + 1 Combine like terms: 5 + -2 = 3 3 + 8x = 12x + 1 Reorder the terms: 3 + 8x = 1 + 12x Solving 3 + 8x = 1 + 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. 3 + 8x + -12x = 1 + 12x + -12x Combine like terms: 8x + -12x = -4x 3 + -4x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -4x = 1 + 0 3 + -4x = 1 Add '-3' to each side of the equation. 3 + -3 + -4x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 1 + -3 -4x = 1 + -3 Combine like terms: 1 + -3 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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