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Simplifying 10 + 4(2x + -5) = 4 + -1(5 + -5x) Reorder the terms: 10 + 4(-5 + 2x) = 4 + -1(5 + -5x) 10 + (-5 * 4 + 2x * 4) = 4 + -1(5 + -5x) 10 + (-20 + 8x) = 4 + -1(5 + -5x) Combine like terms: 10 + -20 = -10 -10 + 8x = 4 + -1(5 + -5x) -10 + 8x = 4 + (5 * -1 + -5x * -1) -10 + 8x = 4 + (-5 + 5x) Combine like terms: 4 + -5 = -1 -10 + 8x = -1 + 5x Solving -10 + 8x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 8x + -5x = -1 + 5x + -5x Combine like terms: 8x + -5x = 3x -10 + 3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 3x = -1 + 0 -10 + 3x = -1 Add '10' to each side of the equation. -10 + 10 + 3x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -1 + 10 3x = -1 + 10 Combine like terms: -1 + 10 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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