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Simplifying 6x + -3(2 + -3x) = 5(x + -3) + -51 6x + (2 * -3 + -3x * -3) = 5(x + -3) + -51 6x + (-6 + 9x) = 5(x + -3) + -51 Reorder the terms: -6 + 6x + 9x = 5(x + -3) + -51 Combine like terms: 6x + 9x = 15x -6 + 15x = 5(x + -3) + -51 Reorder the terms: -6 + 15x = 5(-3 + x) + -51 -6 + 15x = (-3 * 5 + x * 5) + -51 -6 + 15x = (-15 + 5x) + -51 Reorder the terms: -6 + 15x = -15 + -51 + 5x Combine like terms: -15 + -51 = -66 -6 + 15x = -66 + 5x Solving -6 + 15x = -66 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 15x + -5x = -66 + 5x + -5x Combine like terms: 15x + -5x = 10x -6 + 10x = -66 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 10x = -66 + 0 -6 + 10x = -66 Add '6' to each side of the equation. -6 + 6 + 10x = -66 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -66 + 6 10x = -66 + 6 Combine like terms: -66 + 6 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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