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Simplifying -4(x + -1) + -10(x + -7) = 2 Reorder the terms: -4(-1 + x) + -10(x + -7) = 2 (-1 * -4 + x * -4) + -10(x + -7) = 2 (4 + -4x) + -10(x + -7) = 2 Reorder the terms: 4 + -4x + -10(-7 + x) = 2 4 + -4x + (-7 * -10 + x * -10) = 2 4 + -4x + (70 + -10x) = 2 Reorder the terms: 4 + 70 + -4x + -10x = 2 Combine like terms: 4 + 70 = 74 74 + -4x + -10x = 2 Combine like terms: -4x + -10x = -14x 74 + -14x = 2 Solving 74 + -14x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -14x = 2 + -74 Combine like terms: 74 + -74 = 0 0 + -14x = 2 + -74 -14x = 2 + -74 Combine like terms: 2 + -74 = -72 -14x = -72 Divide each side by '-14'. x = 5.142857143 Simplifying x = 5.142857143
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