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Simplifying 234 = 6(4x + 7) Reorder the terms: 234 = 6(7 + 4x) 234 = (7 * 6 + 4x * 6) 234 = (42 + 24x) Solving 234 = 42 + 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. 234 + -24x = 42 + 24x + -24x Combine like terms: 24x + -24x = 0 234 + -24x = 42 + 0 234 + -24x = 42 Add '-234' to each side of the equation. 234 + -234 + -24x = 42 + -234 Combine like terms: 234 + -234 = 0 0 + -24x = 42 + -234 -24x = 42 + -234 Combine like terms: 42 + -234 = -192 -24x = -192 Divide each side by '-24'. x = 8 Simplifying x = 8
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