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Simplifying -6 + 2x + -11 = -2(2x + -3) + 4 Reorder the terms: -6 + -11 + 2x = -2(2x + -3) + 4 Combine like terms: -6 + -11 = -17 -17 + 2x = -2(2x + -3) + 4 Reorder the terms: -17 + 2x = -2(-3 + 2x) + 4 -17 + 2x = (-3 * -2 + 2x * -2) + 4 -17 + 2x = (6 + -4x) + 4 Reorder the terms: -17 + 2x = 6 + 4 + -4x Combine like terms: 6 + 4 = 10 -17 + 2x = 10 + -4x Solving -17 + 2x = 10 + -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. -17 + 2x + 4x = 10 + -4x + 4x Combine like terms: 2x + 4x = 6x -17 + 6x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 6x = 10 + 0 -17 + 6x = 10 Add '17' to each side of the equation. -17 + 17 + 6x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 10 + 17 6x = 10 + 17 Combine like terms: 10 + 17 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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