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Simplifying 8(4x + 5) = 4(6x + 2) Reorder the terms: 8(5 + 4x) = 4(6x + 2) (5 * 8 + 4x * 8) = 4(6x + 2) (40 + 32x) = 4(6x + 2) Reorder the terms: 40 + 32x = 4(2 + 6x) 40 + 32x = (2 * 4 + 6x * 4) 40 + 32x = (8 + 24x) Solving 40 + 32x = 8 + 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. 40 + 32x + -24x = 8 + 24x + -24x Combine like terms: 32x + -24x = 8x 40 + 8x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 40 + 8x = 8 + 0 40 + 8x = 8 Add '-40' to each side of the equation. 40 + -40 + 8x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 8 + -40 8x = 8 + -40 Combine like terms: 8 + -40 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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