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Simplifying 5(2x + 8) = 6x + 32 Reorder the terms: 5(8 + 2x) = 6x + 32 (8 * 5 + 2x * 5) = 6x + 32 (40 + 10x) = 6x + 32 Reorder the terms: 40 + 10x = 32 + 6x Solving 40 + 10x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 10x + -6x = 32 + 6x + -6x Combine like terms: 10x + -6x = 4x 40 + 4x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 4x = 32 + 0 40 + 4x = 32 Add '-40' to each side of the equation. 40 + -40 + 4x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 32 + -40 4x = 32 + -40 Combine like terms: 32 + -40 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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