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Simplifying 21x + 35 + -8 = 4x + 10 + -7x + 5 Reorder the terms: 35 + -8 + 21x = 4x + 10 + -7x + 5 Combine like terms: 35 + -8 = 27 27 + 21x = 4x + 10 + -7x + 5 Reorder the terms: 27 + 21x = 10 + 5 + 4x + -7x Combine like terms: 10 + 5 = 15 27 + 21x = 15 + 4x + -7x Combine like terms: 4x + -7x = -3x 27 + 21x = 15 + -3x Solving 27 + 21x = 15 + -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. 27 + 21x + 3x = 15 + -3x + 3x Combine like terms: 21x + 3x = 24x 27 + 24x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 27 + 24x = 15 + 0 27 + 24x = 15 Add '-27' to each side of the equation. 27 + -27 + 24x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 24x = 15 + -27 24x = 15 + -27 Combine like terms: 15 + -27 = -12 24x = -12 Divide each side by '24'. x = -0.5 Simplifying x = -0.5
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