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Simplifying 10 + 5(x + -4) = 8x + -1(5x + 4) Reorder the terms: 10 + 5(-4 + x) = 8x + -1(5x + 4) 10 + (-4 * 5 + x * 5) = 8x + -1(5x + 4) 10 + (-20 + 5x) = 8x + -1(5x + 4) Combine like terms: 10 + -20 = -10 -10 + 5x = 8x + -1(5x + 4) Reorder the terms: -10 + 5x = 8x + -1(4 + 5x) -10 + 5x = 8x + (4 * -1 + 5x * -1) -10 + 5x = 8x + (-4 + -5x) Reorder the terms: -10 + 5x = -4 + 8x + -5x Combine like terms: 8x + -5x = 3x -10 + 5x = -4 + 3x Solving -10 + 5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = -4 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = -4 + 0 -10 + 2x = -4 Add '10' to each side of the equation. -10 + 10 + 2x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -4 + 10 2x = -4 + 10 Combine like terms: -4 + 10 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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