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Simplifying 4x + 7 = 32 + -6x Reorder the terms: 7 + 4x = 32 + -6x Solving 7 + 4x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 4x + 6x = 32 + -6x + 6x Combine like terms: 4x + 6x = 10x 7 + 10x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 10x = 32 + 0 7 + 10x = 32 Add '-7' to each side of the equation. 7 + -7 + 10x = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 32 + -7 10x = 32 + -7 Combine like terms: 32 + -7 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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