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Simplifying 3 + x + 3 + 2x = 3(2x + 1) + 2x + 1 Reorder the terms: 3 + 3 + x + 2x = 3(2x + 1) + 2x + 1 Combine like terms: 3 + 3 = 6 6 + x + 2x = 3(2x + 1) + 2x + 1 Combine like terms: x + 2x = 3x 6 + 3x = 3(2x + 1) + 2x + 1 Reorder the terms: 6 + 3x = 3(1 + 2x) + 2x + 1 6 + 3x = (1 * 3 + 2x * 3) + 2x + 1 6 + 3x = (3 + 6x) + 2x + 1 Reorder the terms: 6 + 3x = 3 + 1 + 6x + 2x Combine like terms: 3 + 1 = 4 6 + 3x = 4 + 6x + 2x Combine like terms: 6x + 2x = 8x 6 + 3x = 4 + 8x Solving 6 + 3x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 6 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -5x = 4 + 0 6 + -5x = 4 Add '-6' to each side of the equation. 6 + -6 + -5x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 4 + -6 -5x = 4 + -6 Combine like terms: 4 + -6 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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