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Simplifying 5x + -19 = 24x + -1(3x + 13) Reorder the terms: -19 + 5x = 24x + -1(3x + 13) Reorder the terms: -19 + 5x = 24x + -1(13 + 3x) -19 + 5x = 24x + (13 * -1 + 3x * -1) -19 + 5x = 24x + (-13 + -3x) Reorder the terms: -19 + 5x = -13 + 24x + -3x Combine like terms: 24x + -3x = 21x -19 + 5x = -13 + 21x Solving -19 + 5x = -13 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -19 + 5x + -21x = -13 + 21x + -21x Combine like terms: 5x + -21x = -16x -19 + -16x = -13 + 21x + -21x Combine like terms: 21x + -21x = 0 -19 + -16x = -13 + 0 -19 + -16x = -13 Add '19' to each side of the equation. -19 + 19 + -16x = -13 + 19 Combine like terms: -19 + 19 = 0 0 + -16x = -13 + 19 -16x = -13 + 19 Combine like terms: -13 + 19 = 6 -16x = 6 Divide each side by '-16'. x = -0.375 Simplifying x = -0.375
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