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Simplifying -4(7x + -4) + 1 = 6x + -17 Reorder the terms: -4(-4 + 7x) + 1 = 6x + -17 (-4 * -4 + 7x * -4) + 1 = 6x + -17 (16 + -28x) + 1 = 6x + -17 Reorder the terms: 16 + 1 + -28x = 6x + -17 Combine like terms: 16 + 1 = 17 17 + -28x = 6x + -17 Reorder the terms: 17 + -28x = -17 + 6x Solving 17 + -28x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + -28x + -6x = -17 + 6x + -6x Combine like terms: -28x + -6x = -34x 17 + -34x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -34x = -17 + 0 17 + -34x = -17 Add '-17' to each side of the equation. 17 + -17 + -34x = -17 + -17 Combine like terms: 17 + -17 = 0 0 + -34x = -17 + -17 -34x = -17 + -17 Combine like terms: -17 + -17 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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