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Simplifying 3x + 5 = 4x + 3 + x Reorder the terms: 5 + 3x = 4x + 3 + x Reorder the terms: 5 + 3x = 3 + 4x + x Combine like terms: 4x + x = 5x 5 + 3x = 3 + 5x Solving 5 + 3x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 3x + -5x = 3 + 5x + -5x Combine like terms: 3x + -5x = -2x 5 + -2x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -2x = 3 + 0 5 + -2x = 3 Add '-5' to each side of the equation. 5 + -5 + -2x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 3 + -5 -2x = 3 + -5 Combine like terms: 3 + -5 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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