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Simplifying 3x + -1(7 + -2x) = 6 + -2(12x) 3x + (7 * -1 + -2x * -1) = 6 + -2(12x) 3x + (-7 + 2x) = 6 + -2(12x) Reorder the terms: -7 + 3x + 2x = 6 + -2(12x) Combine like terms: 3x + 2x = 5x -7 + 5x = 6 + -2(12x) Remove parenthesis around (12x) -7 + 5x = 6 + -2 * 12x Multiply -2 * 12 -7 + 5x = 6 + -24x Solving -7 + 5x = 6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -7 + 5x + 24x = 6 + -24x + 24x Combine like terms: 5x + 24x = 29x -7 + 29x = 6 + -24x + 24x Combine like terms: -24x + 24x = 0 -7 + 29x = 6 + 0 -7 + 29x = 6 Add '7' to each side of the equation. -7 + 7 + 29x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 29x = 6 + 7 29x = 6 + 7 Combine like terms: 6 + 7 = 13 29x = 13 Divide each side by '29'. x = 0.4482758621 Simplifying x = 0.4482758621
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