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Simplifying 3x + -4(2 + -1x) = 3(x + -2) + -4 3x + (2 * -4 + -1x * -4) = 3(x + -2) + -4 3x + (-8 + 4x) = 3(x + -2) + -4 Reorder the terms: -8 + 3x + 4x = 3(x + -2) + -4 Combine like terms: 3x + 4x = 7x -8 + 7x = 3(x + -2) + -4 Reorder the terms: -8 + 7x = 3(-2 + x) + -4 -8 + 7x = (-2 * 3 + x * 3) + -4 -8 + 7x = (-6 + 3x) + -4 Reorder the terms: -8 + 7x = -6 + -4 + 3x Combine like terms: -6 + -4 = -10 -8 + 7x = -10 + 3x Solving -8 + 7x = -10 + 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. -8 + 7x + -3x = -10 + 3x + -3x Combine like terms: 7x + -3x = 4x -8 + 4x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 4x = -10 + 0 -8 + 4x = -10 Add '8' to each side of the equation. -8 + 8 + 4x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -10 + 8 4x = -10 + 8 Combine like terms: -10 + 8 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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