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Simplifying 27 + -1x = 7x + -1(x + -6) Reorder the terms: 27 + -1x = 7x + -1(-6 + x) 27 + -1x = 7x + (-6 * -1 + x * -1) 27 + -1x = 7x + (6 + -1x) Reorder the terms: 27 + -1x = 6 + 7x + -1x Combine like terms: 7x + -1x = 6x 27 + -1x = 6 + 6x Solving 27 + -1x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + -1x + -6x = 6 + 6x + -6x Combine like terms: -1x + -6x = -7x 27 + -7x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -7x = 6 + 0 27 + -7x = 6 Add '-27' to each side of the equation. 27 + -27 + -7x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 6 + -27 -7x = 6 + -27 Combine like terms: 6 + -27 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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