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Simplifying 3(x + 18) = 21 + -3(x + 5) Reorder the terms: 3(18 + x) = 21 + -3(x + 5) (18 * 3 + x * 3) = 21 + -3(x + 5) (54 + 3x) = 21 + -3(x + 5) Reorder the terms: 54 + 3x = 21 + -3(5 + x) 54 + 3x = 21 + (5 * -3 + x * -3) 54 + 3x = 21 + (-15 + -3x) Combine like terms: 21 + -15 = 6 54 + 3x = 6 + -3x Solving 54 + 3x = 6 + -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. 54 + 3x + 3x = 6 + -3x + 3x Combine like terms: 3x + 3x = 6x 54 + 6x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 54 + 6x = 6 + 0 54 + 6x = 6 Add '-54' to each side of the equation. 54 + -54 + 6x = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 6x = 6 + -54 6x = 6 + -54 Combine like terms: 6 + -54 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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