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Simplifying 2x + -1(5x + 11) = 4x + 17 Reorder the terms: 2x + -1(11 + 5x) = 4x + 17 2x + (11 * -1 + 5x * -1) = 4x + 17 2x + (-11 + -5x) = 4x + 17 Reorder the terms: -11 + 2x + -5x = 4x + 17 Combine like terms: 2x + -5x = -3x -11 + -3x = 4x + 17 Reorder the terms: -11 + -3x = 17 + 4x Solving -11 + -3x = 17 + 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. -11 + -3x + -4x = 17 + 4x + -4x Combine like terms: -3x + -4x = -7x -11 + -7x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -7x = 17 + 0 -11 + -7x = 17 Add '11' to each side of the equation. -11 + 11 + -7x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = 17 + 11 -7x = 17 + 11 Combine like terms: 17 + 11 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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