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Simplifying 7x + 7(x + -5) = 5x + -18 Reorder the terms: 7x + 7(-5 + x) = 5x + -18 7x + (-5 * 7 + x * 7) = 5x + -18 7x + (-35 + 7x) = 5x + -18 Reorder the terms: -35 + 7x + 7x = 5x + -18 Combine like terms: 7x + 7x = 14x -35 + 14x = 5x + -18 Reorder the terms: -35 + 14x = -18 + 5x Solving -35 + 14x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 14x + -5x = -18 + 5x + -5x Combine like terms: 14x + -5x = 9x -35 + 9x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 9x = -18 + 0 -35 + 9x = -18 Add '35' to each side of the equation. -35 + 35 + 9x = -18 + 35 Combine like terms: -35 + 35 = 0 0 + 9x = -18 + 35 9x = -18 + 35 Combine like terms: -18 + 35 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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