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Simplifying 51 = -5x + 3(6x + -9) Reorder the terms: 51 = -5x + 3(-9 + 6x) 51 = -5x + (-9 * 3 + 6x * 3) 51 = -5x + (-27 + 18x) Reorder the terms: 51 = -27 + -5x + 18x Combine like terms: -5x + 18x = 13x 51 = -27 + 13x Solving 51 = -27 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 51 + -13x = -27 + 13x + -13x Combine like terms: 13x + -13x = 0 51 + -13x = -27 + 0 51 + -13x = -27 Add '-51' to each side of the equation. 51 + -51 + -13x = -27 + -51 Combine like terms: 51 + -51 = 0 0 + -13x = -27 + -51 -13x = -27 + -51 Combine like terms: -27 + -51 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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