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Simplifying 3(7 + x) = 7x + -27 (7 * 3 + x * 3) = 7x + -27 (21 + 3x) = 7x + -27 Reorder the terms: 21 + 3x = -27 + 7x Solving 21 + 3x = -27 + 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 + 3x + -7x = -27 + 7x + -7x Combine like terms: 3x + -7x = -4x 21 + -4x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -4x = -27 + 0 21 + -4x = -27 Add '-21' to each side of the equation. 21 + -21 + -4x = -27 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = -27 + -21 -4x = -27 + -21 Combine like terms: -27 + -21 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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