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Simplifying 10x + 5 = 2x + 45 Reorder the terms: 5 + 10x = 2x + 45 Reorder the terms: 5 + 10x = 45 + 2x Solving 5 + 10x = 45 + 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. 5 + 10x + -2x = 45 + 2x + -2x Combine like terms: 10x + -2x = 8x 5 + 8x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 8x = 45 + 0 5 + 8x = 45 Add '-5' to each side of the equation. 5 + -5 + 8x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 45 + -5 8x = 45 + -5 Combine like terms: 45 + -5 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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