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Simplifying 45 + -1(3x + 4) = 5x + -20 Reorder the terms: 45 + -1(4 + 3x) = 5x + -20 45 + (4 * -1 + 3x * -1) = 5x + -20 45 + (-4 + -3x) = 5x + -20 Combine like terms: 45 + -4 = 41 41 + -3x = 5x + -20 Reorder the terms: 41 + -3x = -20 + 5x Solving 41 + -3x = -20 + 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. 41 + -3x + -5x = -20 + 5x + -5x Combine like terms: -3x + -5x = -8x 41 + -8x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -8x = -20 + 0 41 + -8x = -20 Add '-41' to each side of the equation. 41 + -41 + -8x = -20 + -41 Combine like terms: 41 + -41 = 0 0 + -8x = -20 + -41 -8x = -20 + -41 Combine like terms: -20 + -41 = -61 -8x = -61 Divide each side by '-8'. x = 7.625 Simplifying x = 7.625
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