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Simplifying 5 + (x + -2) + 2 + (1 + -3x) = 7x + 12 Reorder the terms: 5 + (-2 + x) + 2 + (1 + -3x) = 7x + 12 Remove parenthesis around (-2 + x) 5 + -2 + x + 2 + (1 + -3x) = 7x + 12 Remove parenthesis around (1 + -3x) 5 + -2 + x + 2 + 1 + -3x = 7x + 12 Reorder the terms: 5 + -2 + 2 + 1 + x + -3x = 7x + 12 Combine like terms: 5 + -2 = 3 3 + 2 + 1 + x + -3x = 7x + 12 Combine like terms: 3 + 2 = 5 5 + 1 + x + -3x = 7x + 12 Combine like terms: 5 + 1 = 6 6 + x + -3x = 7x + 12 Combine like terms: x + -3x = -2x 6 + -2x = 7x + 12 Reorder the terms: 6 + -2x = 12 + 7x Solving 6 + -2x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -2x + -7x = 12 + 7x + -7x Combine like terms: -2x + -7x = -9x 6 + -9x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -9x = 12 + 0 6 + -9x = 12 Add '-6' to each side of the equation. 6 + -6 + -9x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 12 + -6 -9x = 12 + -6 Combine like terms: 12 + -6 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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