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Simplifying 5x + 6x + -1(7x + 7) = 18x + -7 Reorder the terms: 5x + 6x + -1(7 + 7x) = 18x + -7 5x + 6x + (7 * -1 + 7x * -1) = 18x + -7 5x + 6x + (-7 + -7x) = 18x + -7 Reorder the terms: -7 + 5x + 6x + -7x = 18x + -7 Combine like terms: 5x + 6x = 11x -7 + 11x + -7x = 18x + -7 Combine like terms: 11x + -7x = 4x -7 + 4x = 18x + -7 Reorder the terms: -7 + 4x = -7 + 18x Add '7' to each side of the equation. -7 + 7 + 4x = -7 + 7 + 18x Combine like terms: -7 + 7 = 0 0 + 4x = -7 + 7 + 18x 4x = -7 + 7 + 18x Combine like terms: -7 + 7 = 0 4x = 0 + 18x 4x = 18x Solving 4x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4x + -18x = 18x + -18x Combine like terms: 4x + -18x = -14x -14x = 18x + -18x Combine like terms: 18x + -18x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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