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Simplifying 3x + 2x + 3 + 3x + 2x + 3 = 5x + -3 + 5x + -3 + 5x + -3 Reorder the terms: 3 + 3 + 3x + 2x + 3x + 2x = 5x + -3 + 5x + -3 + 5x + -3 Combine like terms: 3 + 3 = 6 6 + 3x + 2x + 3x + 2x = 5x + -3 + 5x + -3 + 5x + -3 Combine like terms: 3x + 2x = 5x 6 + 5x + 3x + 2x = 5x + -3 + 5x + -3 + 5x + -3 Combine like terms: 5x + 3x = 8x 6 + 8x + 2x = 5x + -3 + 5x + -3 + 5x + -3 Combine like terms: 8x + 2x = 10x 6 + 10x = 5x + -3 + 5x + -3 + 5x + -3 Reorder the terms: 6 + 10x = -3 + -3 + -3 + 5x + 5x + 5x Combine like terms: -3 + -3 = -6 6 + 10x = -6 + -3 + 5x + 5x + 5x Combine like terms: -6 + -3 = -9 6 + 10x = -9 + 5x + 5x + 5x Combine like terms: 5x + 5x = 10x 6 + 10x = -9 + 10x + 5x Combine like terms: 10x + 5x = 15x 6 + 10x = -9 + 15x Solving 6 + 10x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 10x + -15x = -9 + 15x + -15x Combine like terms: 10x + -15x = -5x 6 + -5x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -5x = -9 + 0 6 + -5x = -9 Add '-6' to each side of the equation. 6 + -6 + -5x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -9 + -6 -5x = -9 + -6 Combine like terms: -9 + -6 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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