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Simplifying -7(x + -5) + -1(6x + -7) = -14x Reorder the terms: -7(-5 + x) + -1(6x + -7) = -14x (-5 * -7 + x * -7) + -1(6x + -7) = -14x (35 + -7x) + -1(6x + -7) = -14x Reorder the terms: 35 + -7x + -1(-7 + 6x) = -14x 35 + -7x + (-7 * -1 + 6x * -1) = -14x 35 + -7x + (7 + -6x) = -14x Reorder the terms: 35 + 7 + -7x + -6x = -14x Combine like terms: 35 + 7 = 42 42 + -7x + -6x = -14x Combine like terms: -7x + -6x = -13x 42 + -13x = -14x Solving 42 + -13x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 42 + -13x + 14x = -14x + 14x Combine like terms: -13x + 14x = 1x 42 + 1x = -14x + 14x Combine like terms: -14x + 14x = 0 42 + 1x = 0 Add '-42' to each side of the equation. 42 + -42 + 1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 0 + -42 1x = 0 + -42 Combine like terms: 0 + -42 = -42 1x = -42 Divide each side by '1'. x = -42 Simplifying x = -42
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