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Simplifying x + 67 = 5(x + 7) Reorder the terms: 67 + x = 5(x + 7) Reorder the terms: 67 + x = 5(7 + x) 67 + x = (7 * 5 + x * 5) 67 + x = (35 + 5x) Solving 67 + x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 67 + x + -5x = 35 + 5x + -5x Combine like terms: x + -5x = -4x 67 + -4x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 67 + -4x = 35 + 0 67 + -4x = 35 Add '-67' to each side of the equation. 67 + -67 + -4x = 35 + -67 Combine like terms: 67 + -67 = 0 0 + -4x = 35 + -67 -4x = 35 + -67 Combine like terms: 35 + -67 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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