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Simplifying -2 + 2(-7 + 3x) = 3(x + -6) + 7 -2 + (-7 * 2 + 3x * 2) = 3(x + -6) + 7 -2 + (-14 + 6x) = 3(x + -6) + 7 Combine like terms: -2 + -14 = -16 -16 + 6x = 3(x + -6) + 7 Reorder the terms: -16 + 6x = 3(-6 + x) + 7 -16 + 6x = (-6 * 3 + x * 3) + 7 -16 + 6x = (-18 + 3x) + 7 Reorder the terms: -16 + 6x = -18 + 7 + 3x Combine like terms: -18 + 7 = -11 -16 + 6x = -11 + 3x Solving -16 + 6x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 6x + -3x = -11 + 3x + -3x Combine like terms: 6x + -3x = 3x -16 + 3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 3x = -11 + 0 -16 + 3x = -11 Add '16' to each side of the equation. -16 + 16 + 3x = -11 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -11 + 16 3x = -11 + 16 Combine like terms: -11 + 16 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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