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