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Simplifying 6(x + -1) + 2(4x + -7) = 180 Reorder the terms: 6(-1 + x) + 2(4x + -7) = 180 (-1 * 6 + x * 6) + 2(4x + -7) = 180 (-6 + 6x) + 2(4x + -7) = 180 Reorder the terms: -6 + 6x + 2(-7 + 4x) = 180 -6 + 6x + (-7 * 2 + 4x * 2) = 180 -6 + 6x + (-14 + 8x) = 180 Reorder the terms: -6 + -14 + 6x + 8x = 180 Combine like terms: -6 + -14 = -20 -20 + 6x + 8x = 180 Combine like terms: 6x + 8x = 14x -20 + 14x = 180 Solving -20 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 14x = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = 180 + 20 14x = 180 + 20 Combine like terms: 180 + 20 = 200 14x = 200 Divide each side by '14'. x = 14.28571429 Simplifying x = 14.28571429
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