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Simplifying 6x + 7 = -4x + 38 Reorder the terms: 7 + 6x = -4x + 38 Reorder the terms: 7 + 6x = 38 + -4x Solving 7 + 6x = 38 + -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 = 38 + -4x + 4x Combine like terms: 6x + 4x = 10x 7 + 10x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 10x = 38 + 0 7 + 10x = 38 Add '-7' to each side of the equation. 7 + -7 + 10x = 38 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 38 + -7 10x = 38 + -7 Combine like terms: 38 + -7 = 31 10x = 31 Divide each side by '10'. x = 3.1 Simplifying x = 3.1
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