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Simplifying 27 + -3x = 7(1 + -1x) 27 + -3x = (1 * 7 + -1x * 7) 27 + -3x = (7 + -7x) Solving 27 + -3x = 7 + -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. 27 + -3x + 7x = 7 + -7x + 7x Combine like terms: -3x + 7x = 4x 27 + 4x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 27 + 4x = 7 + 0 27 + 4x = 7 Add '-27' to each side of the equation. 27 + -27 + 4x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 7 + -27 4x = 7 + -27 Combine like terms: 7 + -27 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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