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Simplifying -1x + 2 + 10x = -2 + 5x + 32 Reorder the terms: 2 + -1x + 10x = -2 + 5x + 32 Combine like terms: -1x + 10x = 9x 2 + 9x = -2 + 5x + 32 Reorder the terms: 2 + 9x = -2 + 32 + 5x Combine like terms: -2 + 32 = 30 2 + 9x = 30 + 5x Solving 2 + 9x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 9x + -5x = 30 + 5x + -5x Combine like terms: 9x + -5x = 4x 2 + 4x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 4x = 30 + 0 2 + 4x = 30 Add '-2' to each side of the equation. 2 + -2 + 4x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 30 + -2 4x = 30 + -2 Combine like terms: 30 + -2 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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