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Simplifying -17 + -7x = -5(x + 3) + -1x Reorder the terms: -17 + -7x = -5(3 + x) + -1x -17 + -7x = (3 * -5 + x * -5) + -1x -17 + -7x = (-15 + -5x) + -1x Combine like terms: -5x + -1x = -6x -17 + -7x = -15 + -6x Solving -17 + -7x = -15 + -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 + -7x + 6x = -15 + -6x + 6x Combine like terms: -7x + 6x = -1x -17 + -1x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + -1x = -15 + 0 -17 + -1x = -15 Add '17' to each side of the equation. -17 + 17 + -1x = -15 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -15 + 17 -1x = -15 + 17 Combine like terms: -15 + 17 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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