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Simplifying 51 = 12x + -1 + 3x + 7 Reorder the terms: 51 = -1 + 7 + 12x + 3x Combine like terms: -1 + 7 = 6 51 = 6 + 12x + 3x Combine like terms: 12x + 3x = 15x 51 = 6 + 15x Solving 51 = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 51 + -15x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 51 + -15x = 6 + 0 51 + -15x = 6 Add '-51' to each side of the equation. 51 + -51 + -15x = 6 + -51 Combine like terms: 51 + -51 = 0 0 + -15x = 6 + -51 -15x = 6 + -51 Combine like terms: 6 + -51 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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