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Simplifying 6(x + 9) = 8x + 38 Reorder the terms: 6(9 + x) = 8x + 38 (9 * 6 + x * 6) = 8x + 38 (54 + 6x) = 8x + 38 Reorder the terms: 54 + 6x = 38 + 8x Solving 54 + 6x = 38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 54 + 6x + -8x = 38 + 8x + -8x Combine like terms: 6x + -8x = -2x 54 + -2x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 54 + -2x = 38 + 0 54 + -2x = 38 Add '-54' to each side of the equation. 54 + -54 + -2x = 38 + -54 Combine like terms: 54 + -54 = 0 0 + -2x = 38 + -54 -2x = 38 + -54 Combine like terms: 38 + -54 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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