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Simplifying -5x + -6(x + -7) = 18 + -7x Reorder the terms: -5x + -6(-7 + x) = 18 + -7x -5x + (-7 * -6 + x * -6) = 18 + -7x -5x + (42 + -6x) = 18 + -7x Reorder the terms: 42 + -5x + -6x = 18 + -7x Combine like terms: -5x + -6x = -11x 42 + -11x = 18 + -7x Solving 42 + -11x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + -11x + 7x = 18 + -7x + 7x Combine like terms: -11x + 7x = -4x 42 + -4x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + -4x = 18 + 0 42 + -4x = 18 Add '-42' to each side of the equation. 42 + -42 + -4x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 18 + -42 -4x = 18 + -42 Combine like terms: 18 + -42 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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