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Simplifying 51 = -6x + 3(4x + -3) Reorder the terms: 51 = -6x + 3(-3 + 4x) 51 = -6x + (-3 * 3 + 4x * 3) 51 = -6x + (-9 + 12x) Reorder the terms: 51 = -9 + -6x + 12x Combine like terms: -6x + 12x = 6x 51 = -9 + 6x Solving 51 = -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 + -6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 51 + -6x = -9 + 0 51 + -6x = -9 Add '-51' to each side of the equation. 51 + -51 + -6x = -9 + -51 Combine like terms: 51 + -51 = 0 0 + -6x = -9 + -51 -6x = -9 + -51 Combine like terms: -9 + -51 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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