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Simplifying 19x + 56 + -7x + -106 = 2x + 2 + 5x + 43 Reorder the terms: 56 + -106 + 19x + -7x = 2x + 2 + 5x + 43 Combine like terms: 56 + -106 = -50 -50 + 19x + -7x = 2x + 2 + 5x + 43 Combine like terms: 19x + -7x = 12x -50 + 12x = 2x + 2 + 5x + 43 Reorder the terms: -50 + 12x = 2 + 43 + 2x + 5x Combine like terms: 2 + 43 = 45 -50 + 12x = 45 + 2x + 5x Combine like terms: 2x + 5x = 7x -50 + 12x = 45 + 7x Solving -50 + 12x = 45 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -50 + 12x + -7x = 45 + 7x + -7x Combine like terms: 12x + -7x = 5x -50 + 5x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -50 + 5x = 45 + 0 -50 + 5x = 45 Add '50' to each side of the equation. -50 + 50 + 5x = 45 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = 45 + 50 5x = 45 + 50 Combine like terms: 45 + 50 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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