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Simplifying 7x + 21 = 3(x + -9) Reorder the terms: 21 + 7x = 3(x + -9) Reorder the terms: 21 + 7x = 3(-9 + x) 21 + 7x = (-9 * 3 + x * 3) 21 + 7x = (-27 + 3x) Solving 21 + 7x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + 7x + -3x = -27 + 3x + -3x Combine like terms: 7x + -3x = 4x 21 + 4x = -27 + 3x + -3x Combine like terms: 3x + -3x = 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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