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Simplifying 2 + -6(3x + 1) = 4(-7x + -9) + -8 Reorder the terms: 2 + -6(1 + 3x) = 4(-7x + -9) + -8 2 + (1 * -6 + 3x * -6) = 4(-7x + -9) + -8 2 + (-6 + -18x) = 4(-7x + -9) + -8 Combine like terms: 2 + -6 = -4 -4 + -18x = 4(-7x + -9) + -8 Reorder the terms: -4 + -18x = 4(-9 + -7x) + -8 -4 + -18x = (-9 * 4 + -7x * 4) + -8 -4 + -18x = (-36 + -28x) + -8 Reorder the terms: -4 + -18x = -36 + -8 + -28x Combine like terms: -36 + -8 = -44 -4 + -18x = -44 + -28x Solving -4 + -18x = -44 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -4 + -18x + 28x = -44 + -28x + 28x Combine like terms: -18x + 28x = 10x -4 + 10x = -44 + -28x + 28x Combine like terms: -28x + 28x = 0 -4 + 10x = -44 + 0 -4 + 10x = -44 Add '4' to each side of the equation. -4 + 4 + 10x = -44 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -44 + 4 10x = -44 + 4 Combine like terms: -44 + 4 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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