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Simplifying 6x + 7 + 4 = -3x + 12 Reorder the terms: 7 + 4 + 6x = -3x + 12 Combine like terms: 7 + 4 = 11 11 + 6x = -3x + 12 Reorder the terms: 11 + 6x = 12 + -3x Solving 11 + 6x = 12 + -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. 11 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x 11 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 9x = 12 + 0 11 + 9x = 12 Add '-11' to each side of the equation. 11 + -11 + 9x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 12 + -11 9x = 12 + -11 Combine like terms: 12 + -11 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111
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