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Simplifying -2(3x + 1) + -1(x + -5) = -7 Reorder the terms: -2(1 + 3x) + -1(x + -5) = -7 (1 * -2 + 3x * -2) + -1(x + -5) = -7 (-2 + -6x) + -1(x + -5) = -7 Reorder the terms: -2 + -6x + -1(-5 + x) = -7 -2 + -6x + (-5 * -1 + x * -1) = -7 -2 + -6x + (5 + -1x) = -7 Reorder the terms: -2 + 5 + -6x + -1x = -7 Combine like terms: -2 + 5 = 3 3 + -6x + -1x = -7 Combine like terms: -6x + -1x = -7x 3 + -7x = -7 Solving 3 + -7x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -7 + -3 -7x = -7 + -3 Combine like terms: -7 + -3 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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