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Simplifying 4x + 5 + 6x = 32 + -1x + 6 Reorder the terms: 5 + 4x + 6x = 32 + -1x + 6 Combine like terms: 4x + 6x = 10x 5 + 10x = 32 + -1x + 6 Reorder the terms: 5 + 10x = 32 + 6 + -1x Combine like terms: 32 + 6 = 38 5 + 10x = 38 + -1x Solving 5 + 10x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 10x + x = 38 + -1x + x Combine like terms: 10x + x = 11x 5 + 11x = 38 + -1x + x Combine like terms: -1x + x = 0 5 + 11x = 38 + 0 5 + 11x = 38 Add '-5' to each side of the equation. 5 + -5 + 11x = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 38 + -5 11x = 38 + -5 Combine like terms: 38 + -5 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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