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Simplifying 5(x + 10) = 4[p + -1(10 + -1p)] Reorder the terms: 5(10 + x) = 4[p + -1(10 + -1p)] (10 * 5 + x * 5) = 4[p + -1(10 + -1p)] (50 + 5x) = 4[p + -1(10 + -1p)] 50 + 5x = 4[p + (10 * -1 + -1p * -1)] 50 + 5x = 4[p + (-10 + 1p)] Reorder the terms: 50 + 5x = 4[-10 + p + 1p] Combine like terms: p + 1p = 2p 50 + 5x = 4[-10 + 2p] 50 + 5x = [-10 * 4 + 2p * 4] 50 + 5x = [-40 + 8p] Solving 50 + 5x = -40 + 8p Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 5x = -40 + -50 + 8p Combine like terms: 50 + -50 = 0 0 + 5x = -40 + -50 + 8p 5x = -40 + -50 + 8p Combine like terms: -40 + -50 = -90 5x = -90 + 8p Divide each side by '5'. x = -18 + 1.6p Simplifying x = -18 + 1.6p
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