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Simplifying 5x + 32 + x = 2x + 100 + 12 Reorder the terms: 32 + 5x + x = 2x + 100 + 12 Combine like terms: 5x + x = 6x 32 + 6x = 2x + 100 + 12 Reorder the terms: 32 + 6x = 100 + 12 + 2x Combine like terms: 100 + 12 = 112 32 + 6x = 112 + 2x Solving 32 + 6x = 112 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 6x + -2x = 112 + 2x + -2x Combine like terms: 6x + -2x = 4x 32 + 4x = 112 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 4x = 112 + 0 32 + 4x = 112 Add '-32' to each side of the equation. 32 + -32 + 4x = 112 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 112 + -32 4x = 112 + -32 Combine like terms: 112 + -32 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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