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Simplifying 12(x + 7) = -3(x + 21) Reorder the terms: 12(7 + x) = -3(x + 21) (7 * 12 + x * 12) = -3(x + 21) (84 + 12x) = -3(x + 21) Reorder the terms: 84 + 12x = -3(21 + x) 84 + 12x = (21 * -3 + x * -3) 84 + 12x = (-63 + -3x) Solving 84 + 12x = -63 + -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. 84 + 12x + 3x = -63 + -3x + 3x Combine like terms: 12x + 3x = 15x 84 + 15x = -63 + -3x + 3x Combine like terms: -3x + 3x = 0 84 + 15x = -63 + 0 84 + 15x = -63 Add '-84' to each side of the equation. 84 + -84 + 15x = -63 + -84 Combine like terms: 84 + -84 = 0 0 + 15x = -63 + -84 15x = -63 + -84 Combine like terms: -63 + -84 = -147 15x = -147 Divide each side by '15'. x = -9.8 Simplifying x = -9.8
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