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Simplifying 138 = 6x + 6(4x + -7) Reorder the terms: 138 = 6x + 6(-7 + 4x) 138 = 6x + (-7 * 6 + 4x * 6) 138 = 6x + (-42 + 24x) Reorder the terms: 138 = -42 + 6x + 24x Combine like terms: 6x + 24x = 30x 138 = -42 + 30x Solving 138 = -42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 138 + -30x = -42 + 30x + -30x Combine like terms: 30x + -30x = 0 138 + -30x = -42 + 0 138 + -30x = -42 Add '-138' to each side of the equation. 138 + -138 + -30x = -42 + -138 Combine like terms: 138 + -138 = 0 0 + -30x = -42 + -138 -30x = -42 + -138 Combine like terms: -42 + -138 = -180 -30x = -180 Divide each side by '-30'. x = 6 Simplifying x = 6
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