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Simplifying 2 + -4(x + 2) = 7x + -17 Reorder the terms: 2 + -4(2 + x) = 7x + -17 2 + (2 * -4 + x * -4) = 7x + -17 2 + (-8 + -4x) = 7x + -17 Combine like terms: 2 + -8 = -6 -6 + -4x = 7x + -17 Reorder the terms: -6 + -4x = -17 + 7x Solving -6 + -4x = -17 + 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. -6 + -4x + -7x = -17 + 7x + -7x Combine like terms: -4x + -7x = -11x -6 + -11x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -11x = -17 + 0 -6 + -11x = -17 Add '6' to each side of the equation. -6 + 6 + -11x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = -17 + 6 -11x = -17 + 6 Combine like terms: -17 + 6 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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