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Simplifying 1 + -1x = 5(-2x + -7) Reorder the terms: 1 + -1x = 5(-7 + -2x) 1 + -1x = (-7 * 5 + -2x * 5) 1 + -1x = (-35 + -10x) Solving 1 + -1x = -35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1 + -1x + 10x = -35 + -10x + 10x Combine like terms: -1x + 10x = 9x 1 + 9x = -35 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 9x = -35 + 0 1 + 9x = -35 Add '-1' to each side of the equation. 1 + -1 + 9x = -35 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = -35 + -1 9x = -35 + -1 Combine like terms: -35 + -1 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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