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Simplifying 1 + 4(5x + -7) = -9 + 13x + 3 Reorder the terms: 1 + 4(-7 + 5x) = -9 + 13x + 3 1 + (-7 * 4 + 5x * 4) = -9 + 13x + 3 1 + (-28 + 20x) = -9 + 13x + 3 Combine like terms: 1 + -28 = -27 -27 + 20x = -9 + 13x + 3 Reorder the terms: -27 + 20x = -9 + 3 + 13x Combine like terms: -9 + 3 = -6 -27 + 20x = -6 + 13x Solving -27 + 20x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -27 + 20x + -13x = -6 + 13x + -13x Combine like terms: 20x + -13x = 7x -27 + 7x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 -27 + 7x = -6 + 0 -27 + 7x = -6 Add '27' to each side of the equation. -27 + 27 + 7x = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = -6 + 27 7x = -6 + 27 Combine like terms: -6 + 27 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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