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Simplifying 2x3 + 4x + 5 = 5(x3 + 4) + -7x3 + 4(x3 + 100) Reorder the terms: 5 + 4x + 2x3 = 5(x3 + 4) + -7x3 + 4(x3 + 100) Reorder the terms: 5 + 4x + 2x3 = 5(4 + x3) + -7x3 + 4(x3 + 100) 5 + 4x + 2x3 = (4 * 5 + x3 * 5) + -7x3 + 4(x3 + 100) 5 + 4x + 2x3 = (20 + 5x3) + -7x3 + 4(x3 + 100) Reorder the terms: 5 + 4x + 2x3 = 20 + 5x3 + -7x3 + 4(100 + x3) 5 + 4x + 2x3 = 20 + 5x3 + -7x3 + (100 * 4 + x3 * 4) 5 + 4x + 2x3 = 20 + 5x3 + -7x3 + (400 + 4x3) Reorder the terms: 5 + 4x + 2x3 = 20 + 400 + 5x3 + -7x3 + 4x3 Combine like terms: 20 + 400 = 420 5 + 4x + 2x3 = 420 + 5x3 + -7x3 + 4x3 Combine like terms: 5x3 + -7x3 = -2x3 5 + 4x + 2x3 = 420 + -2x3 + 4x3 Combine like terms: -2x3 + 4x3 = 2x3 5 + 4x + 2x3 = 420 + 2x3 Add '-2x3' to each side of the equation. 5 + 4x + 2x3 + -2x3 = 420 + 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 5 + 4x + 0 = 420 + 2x3 + -2x3 5 + 4x = 420 + 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 5 + 4x = 420 + 0 5 + 4x = 420 Solving 5 + 4x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 420 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 420 + -5 4x = 420 + -5 Combine like terms: 420 + -5 = 415 4x = 415 Divide each side by '4'. x = 103.75 Simplifying x = 103.75
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