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Simplifying 4x + 67 = 5(6x + 3) Reorder the terms: 67 + 4x = 5(6x + 3) Reorder the terms: 67 + 4x = 5(3 + 6x) 67 + 4x = (3 * 5 + 6x * 5) 67 + 4x = (15 + 30x) Solving 67 + 4x = 15 + 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. 67 + 4x + -30x = 15 + 30x + -30x Combine like terms: 4x + -30x = -26x 67 + -26x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 67 + -26x = 15 + 0 67 + -26x = 15 Add '-67' to each side of the equation. 67 + -67 + -26x = 15 + -67 Combine like terms: 67 + -67 = 0 0 + -26x = 15 + -67 -26x = 15 + -67 Combine like terms: 15 + -67 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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