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Simplifying -7x + -27 = 8(-1x + -19) Reorder the terms: -27 + -7x = 8(-1x + -19) Reorder the terms: -27 + -7x = 8(-19 + -1x) -27 + -7x = (-19 * 8 + -1x * 8) -27 + -7x = (-152 + -8x) Solving -27 + -7x = -152 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -27 + -7x + 8x = -152 + -8x + 8x Combine like terms: -7x + 8x = 1x -27 + 1x = -152 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 1x = -152 + 0 -27 + 1x = -152 Add '27' to each side of the equation. -27 + 27 + 1x = -152 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -152 + 27 1x = -152 + 27 Combine like terms: -152 + 27 = -125 1x = -125 Divide each side by '1'. x = -125 Simplifying x = -125
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