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Simplifying 27 + -1(x + 7) = 7x + -4 Reorder the terms: 27 + -1(7 + x) = 7x + -4 27 + (7 * -1 + x * -1) = 7x + -4 27 + (-7 + -1x) = 7x + -4 Combine like terms: 27 + -7 = 20 20 + -1x = 7x + -4 Reorder the terms: 20 + -1x = -4 + 7x Solving 20 + -1x = -4 + 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. 20 + -1x + -7x = -4 + 7x + -7x Combine like terms: -1x + -7x = -8x 20 + -8x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -8x = -4 + 0 20 + -8x = -4 Add '-20' to each side of the equation. 20 + -20 + -8x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -4 + -20 -8x = -4 + -20 Combine like terms: -4 + -20 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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