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Simplifying -1(-44 + -6x) + -1(7x + 4) = 38 (-44 * -1 + -6x * -1) + -1(7x + 4) = 38 (44 + 6x) + -1(7x + 4) = 38 Reorder the terms: 44 + 6x + -1(4 + 7x) = 38 44 + 6x + (4 * -1 + 7x * -1) = 38 44 + 6x + (-4 + -7x) = 38 Reorder the terms: 44 + -4 + 6x + -7x = 38 Combine like terms: 44 + -4 = 40 40 + 6x + -7x = 38 Combine like terms: 6x + -7x = -1x 40 + -1x = 38 Solving 40 + -1x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 38 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 38 + -40 -1x = 38 + -40 Combine like terms: 38 + -40 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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