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Simplifying 5 + (3x + -7) = 12x + 6 Reorder the terms: 5 + (-7 + 3x) = 12x + 6 Remove parenthesis around (-7 + 3x) 5 + -7 + 3x = 12x + 6 Combine like terms: 5 + -7 = -2 -2 + 3x = 12x + 6 Reorder the terms: -2 + 3x = 6 + 12x Solving -2 + 3x = 6 + 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. -2 + 3x + -12x = 6 + 12x + -12x Combine like terms: 3x + -12x = -9x -2 + -9x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -9x = 6 + 0 -2 + -9x = 6 Add '2' to each side of the equation. -2 + 2 + -9x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 6 + 2 -9x = 6 + 2 Combine like terms: 6 + 2 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889
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