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Simplifying 3 + -2x + 4 = 5 + 4x + -6 Reorder the terms: 3 + 4 + -2x = 5 + 4x + -6 Combine like terms: 3 + 4 = 7 7 + -2x = 5 + 4x + -6 Reorder the terms: 7 + -2x = 5 + -6 + 4x Combine like terms: 5 + -6 = -1 7 + -2x = -1 + 4x Solving 7 + -2x = -1 + 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 = -1 + 4x + -4x Combine like terms: -2x + -4x = -6x 7 + -6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -6x = -1 + 0 7 + -6x = -1 Add '-7' to each side of the equation. 7 + -7 + -6x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -1 + -7 -6x = -1 + -7 Combine like terms: -1 + -7 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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