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Simplifying -3(-7 + 2x) + -7(-1x + -4) = 48 (-7 * -3 + 2x * -3) + -7(-1x + -4) = 48 (21 + -6x) + -7(-1x + -4) = 48 Reorder the terms: 21 + -6x + -7(-4 + -1x) = 48 21 + -6x + (-4 * -7 + -1x * -7) = 48 21 + -6x + (28 + 7x) = 48 Reorder the terms: 21 + 28 + -6x + 7x = 48 Combine like terms: 21 + 28 = 49 49 + -6x + 7x = 48 Combine like terms: -6x + 7x = 1x 49 + 1x = 48 Solving 49 + 1x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 1x = 48 + -49 Combine like terms: 49 + -49 = 0 0 + 1x = 48 + -49 1x = 48 + -49 Combine like terms: 48 + -49 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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