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Simplifying 2x + 8x = 5(5 + -8x) + -5(-3 + -2x) Combine like terms: 2x + 8x = 10x 10x = 5(5 + -8x) + -5(-3 + -2x) 10x = (5 * 5 + -8x * 5) + -5(-3 + -2x) 10x = (25 + -40x) + -5(-3 + -2x) 10x = 25 + -40x + (-3 * -5 + -2x * -5) 10x = 25 + -40x + (15 + 10x) Reorder the terms: 10x = 25 + 15 + -40x + 10x Combine like terms: 25 + 15 = 40 10x = 40 + -40x + 10x Combine like terms: -40x + 10x = -30x 10x = 40 + -30x Solving 10x = 40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 10x + 30x = 40 + -30x + 30x Combine like terms: 10x + 30x = 40x 40x = 40 + -30x + 30x Combine like terms: -30x + 30x = 0 40x = 40 + 0 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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