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Simplifying 3(x + 2) + -1(2x + -4) = -1(4x + 1) Reorder the terms: 3(2 + x) + -1(2x + -4) = -1(4x + 1) (2 * 3 + x * 3) + -1(2x + -4) = -1(4x + 1) (6 + 3x) + -1(2x + -4) = -1(4x + 1) Reorder the terms: 6 + 3x + -1(-4 + 2x) = -1(4x + 1) 6 + 3x + (-4 * -1 + 2x * -1) = -1(4x + 1) 6 + 3x + (4 + -2x) = -1(4x + 1) Reorder the terms: 6 + 4 + 3x + -2x = -1(4x + 1) Combine like terms: 6 + 4 = 10 10 + 3x + -2x = -1(4x + 1) Combine like terms: 3x + -2x = 1x 10 + 1x = -1(4x + 1) Reorder the terms: 10 + 1x = -1(1 + 4x) 10 + 1x = (1 * -1 + 4x * -1) 10 + 1x = (-1 + -4x) Solving 10 + 1x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 1x + 4x = -1 + -4x + 4x Combine like terms: 1x + 4x = 5x 10 + 5x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 5x = -1 + 0 10 + 5x = -1 Add '-10' to each side of the equation. 10 + -10 + 5x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -1 + -10 5x = -1 + -10 Combine like terms: -1 + -10 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2
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