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Simplifying 2(4x + -6) + -7(-5x + 8) = -197 Reorder the terms: 2(-6 + 4x) + -7(-5x + 8) = -197 (-6 * 2 + 4x * 2) + -7(-5x + 8) = -197 (-12 + 8x) + -7(-5x + 8) = -197 Reorder the terms: -12 + 8x + -7(8 + -5x) = -197 -12 + 8x + (8 * -7 + -5x * -7) = -197 -12 + 8x + (-56 + 35x) = -197 Reorder the terms: -12 + -56 + 8x + 35x = -197 Combine like terms: -12 + -56 = -68 -68 + 8x + 35x = -197 Combine like terms: 8x + 35x = 43x -68 + 43x = -197 Solving -68 + 43x = -197 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 43x = -197 + 68 Combine like terms: -68 + 68 = 0 0 + 43x = -197 + 68 43x = -197 + 68 Combine like terms: -197 + 68 = -129 43x = -129 Divide each side by '43'. x = -3 Simplifying x = -3
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