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Simplifying 3x + -6 + 7 = 12x + -16 + 7 Reorder the terms: -6 + 7 + 3x = 12x + -16 + 7 Combine like terms: -6 + 7 = 1 1 + 3x = 12x + -16 + 7 Reorder the terms: 1 + 3x = -16 + 7 + 12x Combine like terms: -16 + 7 = -9 1 + 3x = -9 + 12x Solving 1 + 3x = -9 + 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. 1 + 3x + -12x = -9 + 12x + -12x Combine like terms: 3x + -12x = -9x 1 + -9x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -9x = -9 + 0 1 + -9x = -9 Add '-1' to each side of the equation. 1 + -1 + -9x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -9 + -1 -9x = -9 + -1 Combine like terms: -9 + -1 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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