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Simplifying 138 = 3x + 3(7x + -18) Reorder the terms: 138 = 3x + 3(-18 + 7x) 138 = 3x + (-18 * 3 + 7x * 3) 138 = 3x + (-54 + 21x) Reorder the terms: 138 = -54 + 3x + 21x Combine like terms: 3x + 21x = 24x 138 = -54 + 24x Solving 138 = -54 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 138 + -24x = -54 + 24x + -24x Combine like terms: 24x + -24x = 0 138 + -24x = -54 + 0 138 + -24x = -54 Add '-138' to each side of the equation. 138 + -138 + -24x = -54 + -138 Combine like terms: 138 + -138 = 0 0 + -24x = -54 + -138 -24x = -54 + -138 Combine like terms: -54 + -138 = -192 -24x = -192 Divide each side by '-24'. x = 8 Simplifying x = 8
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