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Simplifying 5(x + 6) = 4x + 40 Reorder the terms: 5(6 + x) = 4x + 40 (6 * 5 + x * 5) = 4x + 40 (30 + 5x) = 4x + 40 Reorder the terms: 30 + 5x = 40 + 4x Solving 30 + 5x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 5x + -4x = 40 + 4x + -4x Combine like terms: 5x + -4x = 1x 30 + 1x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 1x = 40 + 0 30 + 1x = 40 Add '-30' to each side of the equation. 30 + -30 + 1x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 40 + -30 1x = 40 + -30 Combine like terms: 40 + -30 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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