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Simplifying 2x + -4x + 7 = 4x + 31 Reorder the terms: 7 + 2x + -4x = 4x + 31 Combine like terms: 2x + -4x = -2x 7 + -2x = 4x + 31 Reorder the terms: 7 + -2x = 31 + 4x Solving 7 + -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. 7 + -2x + -4x = 31 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = 31 + 0 7 + -6x = 31 Add '-7' to each side of the equation. 7 + -7 + -6x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 31 + -7 -6x = 31 + -7 Combine like terms: 31 + -7 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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