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Simplifying 3x + 19 = -4x + 5 Reorder the terms: 19 + 3x = -4x + 5 Reorder the terms: 19 + 3x = 5 + -4x Solving 19 + 3x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 19 + 3x + 4x = 5 + -4x + 4x Combine like terms: 3x + 4x = 7x 19 + 7x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 7x = 5 + 0 19 + 7x = 5 Add '-19' to each side of the equation. 19 + -19 + 7x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 5 + -19 7x = 5 + -19 Combine like terms: 5 + -19 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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