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Simplifying 3(2 + -1x) + -2(7 + -3x) = 5 + 6x (2 * 3 + -1x * 3) + -2(7 + -3x) = 5 + 6x (6 + -3x) + -2(7 + -3x) = 5 + 6x 6 + -3x + (7 * -2 + -3x * -2) = 5 + 6x 6 + -3x + (-14 + 6x) = 5 + 6x Reorder the terms: 6 + -14 + -3x + 6x = 5 + 6x Combine like terms: 6 + -14 = -8 -8 + -3x + 6x = 5 + 6x Combine like terms: -3x + 6x = 3x -8 + 3x = 5 + 6x Solving -8 + 3x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 3x + -6x = 5 + 6x + -6x Combine like terms: 3x + -6x = -3x -8 + -3x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -3x = 5 + 0 -8 + -3x = 5 Add '8' to each side of the equation. -8 + 8 + -3x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 5 + 8 -3x = 5 + 8 Combine like terms: 5 + 8 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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