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Simplifying 78 = 6(4x + 3) Reorder the terms: 78 = 6(3 + 4x) 78 = (3 * 6 + 4x * 6) 78 = (18 + 24x) Solving 78 = 18 + 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. 78 + -24x = 18 + 24x + -24x Combine like terms: 24x + -24x = 0 78 + -24x = 18 + 0 78 + -24x = 18 Add '-78' to each side of the equation. 78 + -78 + -24x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -24x = 18 + -78 -24x = 18 + -78 Combine like terms: 18 + -78 = -60 -24x = -60 Divide each side by '-24'. x = 2.5 Simplifying x = 2.5
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