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Simplifying 2x + 3x + 10 = 1x + 5 + 45 Reorder the terms: 10 + 2x + 3x = 1x + 5 + 45 Combine like terms: 2x + 3x = 5x 10 + 5x = 1x + 5 + 45 Reorder the terms: 10 + 5x = 5 + 45 + 1x Combine like terms: 5 + 45 = 50 10 + 5x = 50 + 1x Solving 10 + 5x = 50 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 5x + -1x = 50 + 1x + -1x Combine like terms: 5x + -1x = 4x 10 + 4x = 50 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + 4x = 50 + 0 10 + 4x = 50 Add '-10' to each side of the equation. 10 + -10 + 4x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 50 + -10 4x = 50 + -10 Combine like terms: 50 + -10 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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