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Simplifying 3x + -4(1 + -1x) = 10 + 5(x + -2) 3x + (1 * -4 + -1x * -4) = 10 + 5(x + -2) 3x + (-4 + 4x) = 10 + 5(x + -2) Reorder the terms: -4 + 3x + 4x = 10 + 5(x + -2) Combine like terms: 3x + 4x = 7x -4 + 7x = 10 + 5(x + -2) Reorder the terms: -4 + 7x = 10 + 5(-2 + x) -4 + 7x = 10 + (-2 * 5 + x * 5) -4 + 7x = 10 + (-10 + 5x) Combine like terms: 10 + -10 = 0 -4 + 7x = 0 + 5x -4 + 7x = 5x Solving -4 + 7x = 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. -4 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x -4 + 2x = 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 2x = 0 Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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