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Simplifying 36 + 8x = 7(x + 6) Reorder the terms: 36 + 8x = 7(6 + x) 36 + 8x = (6 * 7 + x * 7) 36 + 8x = (42 + 7x) Solving 36 + 8x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 8x + -7x = 42 + 7x + -7x Combine like terms: 8x + -7x = 1x 36 + 1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + 1x = 42 + 0 36 + 1x = 42 Add '-36' to each side of the equation. 36 + -36 + 1x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 42 + -36 1x = 42 + -36 Combine like terms: 42 + -36 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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