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Simplifying 17 + -1(x + 6) = 4x + -4 Reorder the terms: 17 + -1(6 + x) = 4x + -4 17 + (6 * -1 + x * -1) = 4x + -4 17 + (-6 + -1x) = 4x + -4 Combine like terms: 17 + -6 = 11 11 + -1x = 4x + -4 Reorder the terms: 11 + -1x = -4 + 4x Solving 11 + -1x = -4 + 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 + -1x + -4x = -4 + 4x + -4x Combine like terms: -1x + -4x = -5x 11 + -5x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -5x = -4 + 0 11 + -5x = -4 Add '-11' to each side of the equation. 11 + -11 + -5x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = -4 + -11 -5x = -4 + -11 Combine like terms: -4 + -11 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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