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Simplifying 27 + -1(x + 8) = 7x + -5 Reorder the terms: 27 + -1(8 + x) = 7x + -5 27 + (8 * -1 + x * -1) = 7x + -5 27 + (-8 + -1x) = 7x + -5 Combine like terms: 27 + -8 = 19 19 + -1x = 7x + -5 Reorder the terms: 19 + -1x = -5 + 7x Solving 19 + -1x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + -1x + -7x = -5 + 7x + -7x Combine like terms: -1x + -7x = -8x 19 + -8x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -8x = -5 + 0 19 + -8x = -5 Add '-19' to each side of the equation. 19 + -19 + -8x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = -5 + -19 -8x = -5 + -19 Combine like terms: -5 + -19 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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