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Simplifying 8(5x + 6) = 4(8x + 2) Reorder the terms: 8(6 + 5x) = 4(8x + 2) (6 * 8 + 5x * 8) = 4(8x + 2) (48 + 40x) = 4(8x + 2) Reorder the terms: 48 + 40x = 4(2 + 8x) 48 + 40x = (2 * 4 + 8x * 4) 48 + 40x = (8 + 32x) Solving 48 + 40x = 8 + 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. 48 + 40x + -32x = 8 + 32x + -32x Combine like terms: 40x + -32x = 8x 48 + 8x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 48 + 8x = 8 + 0 48 + 8x = 8 Add '-48' to each side of the equation. 48 + -48 + 8x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 8 + -48 8x = 8 + -48 Combine like terms: 8 + -48 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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