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Simplifying 3 + -4x = 2x + 5x + -19 Reorder the terms: 3 + -4x = -19 + 2x + 5x Combine like terms: 2x + 5x = 7x 3 + -4x = -19 + 7x Solving 3 + -4x = -19 + 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. 3 + -4x + -7x = -19 + 7x + -7x Combine like terms: -4x + -7x = -11x 3 + -11x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -11x = -19 + 0 3 + -11x = -19 Add '-3' to each side of the equation. 3 + -3 + -11x = -19 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = -19 + -3 -11x = -19 + -3 Combine like terms: -19 + -3 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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