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Simplifying -7x + 27 = 8 + -1(x + 19) Reorder the terms: 27 + -7x = 8 + -1(x + 19) Reorder the terms: 27 + -7x = 8 + -1(19 + x) 27 + -7x = 8 + (19 * -1 + x * -1) 27 + -7x = 8 + (-19 + -1x) Combine like terms: 8 + -19 = -11 27 + -7x = -11 + -1x Solving 27 + -7x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27 + -7x + x = -11 + -1x + x Combine like terms: -7x + x = -6x 27 + -6x = -11 + -1x + x Combine like terms: -1x + x = 0 27 + -6x = -11 + 0 27 + -6x = -11 Add '-27' to each side of the equation. 27 + -27 + -6x = -11 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = -11 + -27 -6x = -11 + -27 Combine like terms: -11 + -27 = -38 -6x = -38 Divide each side by '-6'. x = 6.333333333 Simplifying x = 6.333333333
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