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Simplifying 7x + -6x + -2 = 4x + -3 + x + -19 Reorder the terms: -2 + 7x + -6x = 4x + -3 + x + -19 Combine like terms: 7x + -6x = 1x -2 + 1x = 4x + -3 + x + -19 Reorder the terms: -2 + 1x = -3 + -19 + 4x + x Combine like terms: -3 + -19 = -22 -2 + 1x = -22 + 4x + x Combine like terms: 4x + x = 5x -2 + 1x = -22 + 5x Solving -2 + 1x = -22 + 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 + 1x + -5x = -22 + 5x + -5x Combine like terms: 1x + -5x = -4x -2 + -4x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = -22 + 0 -2 + -4x = -22 Add '2' to each side of the equation. -2 + 2 + -4x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -22 + 2 -4x = -22 + 2 Combine like terms: -22 + 2 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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