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Simplifying 3x + -6(5x + 5) = 9x + 6 Reorder the terms: 3x + -6(5 + 5x) = 9x + 6 3x + (5 * -6 + 5x * -6) = 9x + 6 3x + (-30 + -30x) = 9x + 6 Reorder the terms: -30 + 3x + -30x = 9x + 6 Combine like terms: 3x + -30x = -27x -30 + -27x = 9x + 6 Reorder the terms: -30 + -27x = 6 + 9x Solving -30 + -27x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + -27x + -9x = 6 + 9x + -9x Combine like terms: -27x + -9x = -36x -30 + -36x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -36x = 6 + 0 -30 + -36x = 6 Add '30' to each side of the equation. -30 + 30 + -36x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -36x = 6 + 30 -36x = 6 + 30 Combine like terms: 6 + 30 = 36 -36x = 36 Divide each side by '-36'. x = -1 Simplifying x = -1
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