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Simplifying 214 + -8 + -17x = 2(2x + -5) + 2 Combine like terms: 214 + -8 = 206 206 + -17x = 2(2x + -5) + 2 Reorder the terms: 206 + -17x = 2(-5 + 2x) + 2 206 + -17x = (-5 * 2 + 2x * 2) + 2 206 + -17x = (-10 + 4x) + 2 Reorder the terms: 206 + -17x = -10 + 2 + 4x Combine like terms: -10 + 2 = -8 206 + -17x = -8 + 4x Solving 206 + -17x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 206 + -17x + -4x = -8 + 4x + -4x Combine like terms: -17x + -4x = -21x 206 + -21x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 206 + -21x = -8 + 0 206 + -21x = -8 Add '-206' to each side of the equation. 206 + -206 + -21x = -8 + -206 Combine like terms: 206 + -206 = 0 0 + -21x = -8 + -206 -21x = -8 + -206 Combine like terms: -8 + -206 = -214 -21x = -214 Divide each side by '-21'. x = 10.19047619 Simplifying x = 10.19047619
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