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Simplifying 10 + -3x + 2 + 12x = 7 + 3x + -1 + x Reorder the terms: 10 + 2 + -3x + 12x = 7 + 3x + -1 + x Combine like terms: 10 + 2 = 12 12 + -3x + 12x = 7 + 3x + -1 + x Combine like terms: -3x + 12x = 9x 12 + 9x = 7 + 3x + -1 + x Reorder the terms: 12 + 9x = 7 + -1 + 3x + x Combine like terms: 7 + -1 = 6 12 + 9x = 6 + 3x + x Combine like terms: 3x + x = 4x 12 + 9x = 6 + 4x Solving 12 + 9x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 9x + -4x = 6 + 4x + -4x Combine like terms: 9x + -4x = 5x 12 + 5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 5x = 6 + 0 12 + 5x = 6 Add '-12' to each side of the equation. 12 + -12 + 5x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 6 + -12 5x = 6 + -12 Combine like terms: 6 + -12 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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