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Simplifying 4x + 3 = -2x + 7 Reorder the terms: 3 + 4x = -2x + 7 Reorder the terms: 3 + 4x = 7 + -2x Solving 3 + 4x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 4x + 2x = 7 + -2x + 2x Combine like terms: 4x + 2x = 6x 3 + 6x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 6x = 7 + 0 3 + 6x = 7 Add '-3' to each side of the equation. 3 + -3 + 6x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 7 + -3 6x = 7 + -3 Combine like terms: 7 + -3 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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