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Simplifying 3x + -1(7 + -2x) = 6 + -2(1 + -2) * x 3x + (7 * -1 + -2x * -1) = 6 + -2(1 + -2) * x 3x + (-7 + 2x) = 6 + -2(1 + -2) * x Reorder the terms: -7 + 3x + 2x = 6 + -2(1 + -2) * x Combine like terms: 3x + 2x = 5x -7 + 5x = 6 + -2(1 + -2) * x Combine like terms: 1 + -2 = -1 -7 + 5x = 6 + -2(-1) * x Multiply -2 * -1 -7 + 5x = 6 + 2x Solving -7 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 6 + 0 -7 + 3x = 6 Add '7' to each side of the equation. -7 + 7 + 3x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 6 + 7 3x = 6 + 7 Combine like terms: 6 + 7 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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