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Simplifying 3x + -1 + 2x + 1 + 2x + 1 = 2x + 1 * 3 Reorder the terms: -1 + 1 + 1 + 3x + 2x + 2x = 2x + 1 * 3 Combine like terms: -1 + 1 = 0 0 + 1 + 3x + 2x + 2x = 2x + 1 * 3 1 + 3x + 2x + 2x = 2x + 1 * 3 Combine like terms: 3x + 2x = 5x 1 + 5x + 2x = 2x + 1 * 3 Combine like terms: 5x + 2x = 7x 1 + 7x = 2x + 1 * 3 Multiply 1 * 3 1 + 7x = 2x + 3 Reorder the terms: 1 + 7x = 3 + 2x Solving 1 + 7x = 3 + 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. 1 + 7x + -2x = 3 + 2x + -2x Combine like terms: 7x + -2x = 5x 1 + 5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 5x = 3 + 0 1 + 5x = 3 Add '-1' to each side of the equation. 1 + -1 + 5x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 3 + -1 5x = 3 + -1 Combine like terms: 3 + -1 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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