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Simplifying 5x + -13 = 7x + -1(4x + -27) Reorder the terms: -13 + 5x = 7x + -1(4x + -27) Reorder the terms: -13 + 5x = 7x + -1(-27 + 4x) -13 + 5x = 7x + (-27 * -1 + 4x * -1) -13 + 5x = 7x + (27 + -4x) Reorder the terms: -13 + 5x = 27 + 7x + -4x Combine like terms: 7x + -4x = 3x -13 + 5x = 27 + 3x Solving -13 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 2x = 27 + 0 -13 + 2x = 27 Add '13' to each side of the equation. -13 + 13 + 2x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 27 + 13 2x = 27 + 13 Combine like terms: 27 + 13 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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