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Simplifying 2x + -4x + 19 = 4x + 31 Reorder the terms: 19 + 2x + -4x = 4x + 31 Combine like terms: 2x + -4x = -2x 19 + -2x = 4x + 31 Reorder the terms: 19 + -2x = 31 + 4x Solving 19 + -2x = 31 + 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 + -2x + -4x = 31 + 4x + -4x Combine like terms: -2x + -4x = -6x 19 + -6x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -6x = 31 + 0 19 + -6x = 31 Add '-19' to each side of the equation. 19 + -19 + -6x = 31 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 31 + -19 -6x = 31 + -19 Combine like terms: 31 + -19 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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