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Simplifying 106 = 2x + 2(7x + -11) Reorder the terms: 106 = 2x + 2(-11 + 7x) 106 = 2x + (-11 * 2 + 7x * 2) 106 = 2x + (-22 + 14x) Reorder the terms: 106 = -22 + 2x + 14x Combine like terms: 2x + 14x = 16x 106 = -22 + 16x Solving 106 = -22 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 106 + -16x = -22 + 16x + -16x Combine like terms: 16x + -16x = 0 106 + -16x = -22 + 0 106 + -16x = -22 Add '-106' to each side of the equation. 106 + -106 + -16x = -22 + -106 Combine like terms: 106 + -106 = 0 0 + -16x = -22 + -106 -16x = -22 + -106 Combine like terms: -22 + -106 = -128 -16x = -128 Divide each side by '-16'. x = 8 Simplifying x = 8
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