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Simplifying 3x + 7x + 5 + 2x + 7 + 5x = 3x + 42 + x + 6 Reorder the terms: 5 + 7 + 3x + 7x + 2x + 5x = 3x + 42 + x + 6 Combine like terms: 5 + 7 = 12 12 + 3x + 7x + 2x + 5x = 3x + 42 + x + 6 Combine like terms: 3x + 7x = 10x 12 + 10x + 2x + 5x = 3x + 42 + x + 6 Combine like terms: 10x + 2x = 12x 12 + 12x + 5x = 3x + 42 + x + 6 Combine like terms: 12x + 5x = 17x 12 + 17x = 3x + 42 + x + 6 Reorder the terms: 12 + 17x = 42 + 6 + 3x + x Combine like terms: 42 + 6 = 48 12 + 17x = 48 + 3x + x Combine like terms: 3x + x = 4x 12 + 17x = 48 + 4x Solving 12 + 17x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 17x + -4x = 48 + 4x + -4x Combine like terms: 17x + -4x = 13x 12 + 13x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 13x = 48 + 0 12 + 13x = 48 Add '-12' to each side of the equation. 12 + -12 + 13x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 48 + -12 13x = 48 + -12 Combine like terms: 48 + -12 = 36 13x = 36 Divide each side by '13'. x = 2.769230769 Simplifying x = 2.769230769
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