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Simplifying 7(1 + -5x) + -1(x + 3) = 4 (1 * 7 + -5x * 7) + -1(x + 3) = 4 (7 + -35x) + -1(x + 3) = 4 Reorder the terms: 7 + -35x + -1(3 + x) = 4 7 + -35x + (3 * -1 + x * -1) = 4 7 + -35x + (-3 + -1x) = 4 Reorder the terms: 7 + -3 + -35x + -1x = 4 Combine like terms: 7 + -3 = 4 4 + -35x + -1x = 4 Combine like terms: -35x + -1x = -36x 4 + -36x = 4 Add '-4' to each side of the equation. 4 + -4 + -36x = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -36x = 4 + -4 -36x = 4 + -4 Combine like terms: 4 + -4 = 0 -36x = 0 Solving -36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-36'. x = 0 Simplifying x = 0
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