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Simplifying 6x + 3 + 4 = x + 4 + -5x + 1 Reorder the terms: 3 + 4 + 6x = x + 4 + -5x + 1 Combine like terms: 3 + 4 = 7 7 + 6x = x + 4 + -5x + 1 Reorder the terms: 7 + 6x = 4 + 1 + x + -5x Combine like terms: 4 + 1 = 5 7 + 6x = 5 + x + -5x Combine like terms: x + -5x = -4x 7 + 6x = 5 + -4x Solving 7 + 6x = 5 + -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. 7 + 6x + 4x = 5 + -4x + 4x Combine like terms: 6x + 4x = 10x 7 + 10x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 10x = 5 + 0 7 + 10x = 5 Add '-7' to each side of the equation. 7 + -7 + 10x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 5 + -7 10x = 5 + -7 Combine like terms: 5 + -7 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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