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Simplifying -11 + 2(3x + 7) = 7(x + -2) Reorder the terms: -11 + 2(7 + 3x) = 7(x + -2) -11 + (7 * 2 + 3x * 2) = 7(x + -2) -11 + (14 + 6x) = 7(x + -2) Combine like terms: -11 + 14 = 3 3 + 6x = 7(x + -2) Reorder the terms: 3 + 6x = 7(-2 + x) 3 + 6x = (-2 * 7 + x * 7) 3 + 6x = (-14 + 7x) Solving 3 + 6x = -14 + 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. 3 + 6x + -7x = -14 + 7x + -7x Combine like terms: 6x + -7x = -1x 3 + -1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -1x = -14 + 0 3 + -1x = -14 Add '-3' to each side of the equation. 3 + -3 + -1x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -14 + -3 -1x = -14 + -3 Combine like terms: -14 + -3 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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