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Simplifying 7(x + 6) = -3(3x + 18) Reorder the terms: 7(6 + x) = -3(3x + 18) (6 * 7 + x * 7) = -3(3x + 18) (42 + 7x) = -3(3x + 18) Reorder the terms: 42 + 7x = -3(18 + 3x) 42 + 7x = (18 * -3 + 3x * -3) 42 + 7x = (-54 + -9x) Solving 42 + 7x = -54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 42 + 7x + 9x = -54 + -9x + 9x Combine like terms: 7x + 9x = 16x 42 + 16x = -54 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 16x = -54 + 0 42 + 16x = -54 Add '-42' to each side of the equation. 42 + -42 + 16x = -54 + -42 Combine like terms: 42 + -42 = 0 0 + 16x = -54 + -42 16x = -54 + -42 Combine like terms: -54 + -42 = -96 16x = -96 Divide each side by '16'. x = -6 Simplifying x = -6
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