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Simplifying 5x + -6(x + -7) = 35 Reorder the terms: 5x + -6(-7 + x) = 35 5x + (-7 * -6 + x * -6) = 35 5x + (42 + -6x) = 35 Reorder the terms: 42 + 5x + -6x = 35 Combine like terms: 5x + -6x = -1x 42 + -1x = 35 Solving 42 + -1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -1x = 35 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 35 + -42 -1x = 35 + -42 Combine like terms: 35 + -42 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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