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Simplifying 7 + 3x + -12x = 3x + 1 Combine like terms: 3x + -12x = -9x 7 + -9x = 3x + 1 Reorder the terms: 7 + -9x = 1 + 3x Solving 7 + -9x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -9x + -3x = 1 + 3x + -3x Combine like terms: -9x + -3x = -12x 7 + -12x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -12x = 1 + 0 7 + -12x = 1 Add '-7' to each side of the equation. 7 + -7 + -12x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 1 + -7 -12x = 1 + -7 Combine like terms: 1 + -7 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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