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Simplifying 20x + 15x + 45 = 4x + 1(x + 3) Reorder the terms: 45 + 20x + 15x = 4x + 1(x + 3) Combine like terms: 20x + 15x = 35x 45 + 35x = 4x + 1(x + 3) Reorder the terms: 45 + 35x = 4x + 1(3 + x) 45 + 35x = 4x + (3 * 1 + x * 1) 45 + 35x = 4x + (3 + 1x) Reorder the terms: 45 + 35x = 3 + 4x + 1x Combine like terms: 4x + 1x = 5x 45 + 35x = 3 + 5x Solving 45 + 35x = 3 + 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. 45 + 35x + -5x = 3 + 5x + -5x Combine like terms: 35x + -5x = 30x 45 + 30x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 30x = 3 + 0 45 + 30x = 3 Add '-45' to each side of the equation. 45 + -45 + 30x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + 30x = 3 + -45 30x = 3 + -45 Combine like terms: 3 + -45 = -42 30x = -42 Divide each side by '30'. x = -1.4 Simplifying x = -1.4
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