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Simplifying 6(-6x + -5) + 4(x + 7) = 30 Reorder the terms: 6(-5 + -6x) + 4(x + 7) = 30 (-5 * 6 + -6x * 6) + 4(x + 7) = 30 (-30 + -36x) + 4(x + 7) = 30 Reorder the terms: -30 + -36x + 4(7 + x) = 30 -30 + -36x + (7 * 4 + x * 4) = 30 -30 + -36x + (28 + 4x) = 30 Reorder the terms: -30 + 28 + -36x + 4x = 30 Combine like terms: -30 + 28 = -2 -2 + -36x + 4x = 30 Combine like terms: -36x + 4x = -32x -2 + -32x = 30 Solving -2 + -32x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -32x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -32x = 30 + 2 -32x = 30 + 2 Combine like terms: 30 + 2 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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