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Simplifying -2(x + -2) + -6 = 19 + -5x Reorder the terms: -2(-2 + x) + -6 = 19 + -5x (-2 * -2 + x * -2) + -6 = 19 + -5x (4 + -2x) + -6 = 19 + -5x Reorder the terms: 4 + -6 + -2x = 19 + -5x Combine like terms: 4 + -6 = -2 -2 + -2x = 19 + -5x Solving -2 + -2x = 19 + -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. -2 + -2x + 5x = 19 + -5x + 5x Combine like terms: -2x + 5x = 3x -2 + 3x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 3x = 19 + 0 -2 + 3x = 19 Add '2' to each side of the equation. -2 + 2 + 3x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 19 + 2 3x = 19 + 2 Combine like terms: 19 + 2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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