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Simplifying -24 + 3x = 4x + 4(5x + 7) Reorder the terms: -24 + 3x = 4x + 4(7 + 5x) -24 + 3x = 4x + (7 * 4 + 5x * 4) -24 + 3x = 4x + (28 + 20x) Reorder the terms: -24 + 3x = 28 + 4x + 20x Combine like terms: 4x + 20x = 24x -24 + 3x = 28 + 24x Solving -24 + 3x = 28 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 3x + -24x = 28 + 24x + -24x Combine like terms: 3x + -24x = -21x -24 + -21x = 28 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -21x = 28 + 0 -24 + -21x = 28 Add '24' to each side of the equation. -24 + 24 + -21x = 28 + 24 Combine like terms: -24 + 24 = 0 0 + -21x = 28 + 24 -21x = 28 + 24 Combine like terms: 28 + 24 = 52 -21x = 52 Divide each side by '-21'. x = -2.476190476 Simplifying x = -2.476190476
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