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Simplifying x + 3x + 2 + 4x + 10 = 45 Reorder the terms: 2 + 10 + x + 3x + 4x = 45 Combine like terms: 2 + 10 = 12 12 + x + 3x + 4x = 45 Combine like terms: x + 3x = 4x 12 + 4x + 4x = 45 Combine like terms: 4x + 4x = 8x 12 + 8x = 45 Solving 12 + 8x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 45 + -12 8x = 45 + -12 Combine like terms: 45 + -12 = 33 8x = 33 Divide each side by '8'. x = 4.125 Simplifying x = 4.125
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