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Simplifying 6x + 7 + 4x = 12 + -3x + 5 Reorder the terms: 7 + 6x + 4x = 12 + -3x + 5 Combine like terms: 6x + 4x = 10x 7 + 10x = 12 + -3x + 5 Reorder the terms: 7 + 10x = 12 + 5 + -3x Combine like terms: 12 + 5 = 17 7 + 10x = 17 + -3x Solving 7 + 10x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 10x + 3x = 17 + -3x + 3x Combine like terms: 10x + 3x = 13x 7 + 13x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 13x = 17 + 0 7 + 13x = 17 Add '-7' to each side of the equation. 7 + -7 + 13x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 17 + -7 13x = 17 + -7 Combine like terms: 17 + -7 = 10 13x = 10 Divide each side by '13'. x = 0.7692307692 Simplifying x = 0.7692307692
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