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Simplifying 7x + 12 + 3x = -6 + x Reorder the terms: 12 + 7x + 3x = -6 + x Combine like terms: 7x + 3x = 10x 12 + 10x = -6 + x Solving 12 + 10x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 10x + -1x = -6 + x + -1x Combine like terms: 10x + -1x = 9x 12 + 9x = -6 + x + -1x Combine like terms: x + -1x = 0 12 + 9x = -6 + 0 12 + 9x = -6 Add '-12' to each side of the equation. 12 + -12 + 9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -6 + -12 9x = -6 + -12 Combine like terms: -6 + -12 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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