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Simplifying 5x + 38 = 9(x + 6) Reorder the terms: 38 + 5x = 9(x + 6) Reorder the terms: 38 + 5x = 9(6 + x) 38 + 5x = (6 * 9 + x * 9) 38 + 5x = (54 + 9x) Solving 38 + 5x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 38 + 5x + -9x = 54 + 9x + -9x Combine like terms: 5x + -9x = -4x 38 + -4x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 38 + -4x = 54 + 0 38 + -4x = 54 Add '-38' to each side of the equation. 38 + -38 + -4x = 54 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 54 + -38 -4x = 54 + -38 Combine like terms: 54 + -38 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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