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Simplifying 4x + 51 = 6x + 9 Reorder the terms: 51 + 4x = 6x + 9 Reorder the terms: 51 + 4x = 9 + 6x Solving 51 + 4x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 51 + 4x + -6x = 9 + 6x + -6x Combine like terms: 4x + -6x = -2x 51 + -2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 51 + -2x = 9 + 0 51 + -2x = 9 Add '-51' to each side of the equation. 51 + -51 + -2x = 9 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = 9 + -51 -2x = 9 + -51 Combine like terms: 9 + -51 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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