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Simplifying 8(14 + 7x) = 8(4x + 5) (14 * 8 + 7x * 8) = 8(4x + 5) (112 + 56x) = 8(4x + 5) Reorder the terms: 112 + 56x = 8(5 + 4x) 112 + 56x = (5 * 8 + 4x * 8) 112 + 56x = (40 + 32x) Solving 112 + 56x = 40 + 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. 112 + 56x + -32x = 40 + 32x + -32x Combine like terms: 56x + -32x = 24x 112 + 24x = 40 + 32x + -32x Combine like terms: 32x + -32x = 0 112 + 24x = 40 + 0 112 + 24x = 40 Add '-112' to each side of the equation. 112 + -112 + 24x = 40 + -112 Combine like terms: 112 + -112 = 0 0 + 24x = 40 + -112 24x = 40 + -112 Combine like terms: 40 + -112 = -72 24x = -72 Divide each side by '24'. x = -3 Simplifying x = -3
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