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Simplifying 27 + -1(x + 6) = 7x + 3 Reorder the terms: 27 + -1(6 + x) = 7x + 3 27 + (6 * -1 + x * -1) = 7x + 3 27 + (-6 + -1x) = 7x + 3 Combine like terms: 27 + -6 = 21 21 + -1x = 7x + 3 Reorder the terms: 21 + -1x = 3 + 7x Solving 21 + -1x = 3 + 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. 21 + -1x + -7x = 3 + 7x + -7x Combine like terms: -1x + -7x = -8x 21 + -8x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -8x = 3 + 0 21 + -8x = 3 Add '-21' to each side of the equation. 21 + -21 + -8x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 3 + -21 -8x = 3 + -21 Combine like terms: 3 + -21 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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