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Simplifying 3x + -1(4 + -2x) = 2 + 7x + -10 3x + (4 * -1 + -2x * -1) = 2 + 7x + -10 3x + (-4 + 2x) = 2 + 7x + -10 Reorder the terms: -4 + 3x + 2x = 2 + 7x + -10 Combine like terms: 3x + 2x = 5x -4 + 5x = 2 + 7x + -10 Reorder the terms: -4 + 5x = 2 + -10 + 7x Combine like terms: 2 + -10 = -8 -4 + 5x = -8 + 7x Solving -4 + 5x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 5x + -7x = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = -8 + 0 -4 + -2x = -8 Add '4' to each side of the equation. -4 + 4 + -2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -8 + 4 -2x = -8 + 4 Combine like terms: -8 + 4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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