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Simplifying -7(-7 + -1x) + 4(3 + 7x) = 61 (-7 * -7 + -1x * -7) + 4(3 + 7x) = 61 (49 + 7x) + 4(3 + 7x) = 61 49 + 7x + (3 * 4 + 7x * 4) = 61 49 + 7x + (12 + 28x) = 61 Reorder the terms: 49 + 12 + 7x + 28x = 61 Combine like terms: 49 + 12 = 61 61 + 7x + 28x = 61 Combine like terms: 7x + 28x = 35x 61 + 35x = 61 Add '-61' to each side of the equation. 61 + -61 + 35x = 61 + -61 Combine like terms: 61 + -61 = 0 0 + 35x = 61 + -61 35x = 61 + -61 Combine like terms: 61 + -61 = 0 35x = 0 Solving 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '35'. x = 0 Simplifying x = 0
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