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Simplifying 14x + -1(22 + -5x) = 6(3x + 5) 14x + (22 * -1 + -5x * -1) = 6(3x + 5) 14x + (-22 + 5x) = 6(3x + 5) Reorder the terms: -22 + 14x + 5x = 6(3x + 5) Combine like terms: 14x + 5x = 19x -22 + 19x = 6(3x + 5) Reorder the terms: -22 + 19x = 6(5 + 3x) -22 + 19x = (5 * 6 + 3x * 6) -22 + 19x = (30 + 18x) Solving -22 + 19x = 30 + 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. -22 + 19x + -18x = 30 + 18x + -18x Combine like terms: 19x + -18x = 1x -22 + 1x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 -22 + 1x = 30 + 0 -22 + 1x = 30 Add '22' to each side of the equation. -22 + 22 + 1x = 30 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = 30 + 22 1x = 30 + 22 Combine like terms: 30 + 22 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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