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Simplifying -7x + -27 = 8(x + -19) Reorder the terms: -27 + -7x = 8(x + -19) Reorder the terms: -27 + -7x = 8(-19 + x) -27 + -7x = (-19 * 8 + x * 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 = -15x -27 + -15x = -152 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -15x = -152 + 0 -27 + -15x = -152 Add '27' to each side of the equation. -27 + 27 + -15x = -152 + 27 Combine like terms: -27 + 27 = 0 0 + -15x = -152 + 27 -15x = -152 + 27 Combine like terms: -152 + 27 = -125 -15x = -125 Divide each side by '-15'. x = 8.333333333 Simplifying x = 8.333333333
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