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Simplifying 8(10 + 7x) = 8(4x + 3) (10 * 8 + 7x * 8) = 8(4x + 3) (80 + 56x) = 8(4x + 3) Reorder the terms: 80 + 56x = 8(3 + 4x) 80 + 56x = (3 * 8 + 4x * 8) 80 + 56x = (24 + 32x) Solving 80 + 56x = 24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 80 + 56x + -32x = 24 + 32x + -32x Combine like terms: 56x + -32x = 24x 80 + 24x = 24 + 32x + -32x Combine like terms: 32x + -32x = 0 80 + 24x = 24 + 0 80 + 24x = 24 Add '-80' to each side of the equation. 80 + -80 + 24x = 24 + -80 Combine like terms: 80 + -80 = 0 0 + 24x = 24 + -80 24x = 24 + -80 Combine like terms: 24 + -80 = -56 24x = -56 Divide each side by '24'. x = -2.333333333 Simplifying x = -2.333333333
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