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Simplifying 3 + -1(2x + 4) = 3 + 4(x + 2) Reorder the terms: 3 + -1(4 + 2x) = 3 + 4(x + 2) 3 + (4 * -1 + 2x * -1) = 3 + 4(x + 2) 3 + (-4 + -2x) = 3 + 4(x + 2) Combine like terms: 3 + -4 = -1 -1 + -2x = 3 + 4(x + 2) Reorder the terms: -1 + -2x = 3 + 4(2 + x) -1 + -2x = 3 + (2 * 4 + x * 4) -1 + -2x = 3 + (8 + 4x) Combine like terms: 3 + 8 = 11 -1 + -2x = 11 + 4x Solving -1 + -2x = 11 + 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. -1 + -2x + -4x = 11 + 4x + -4x Combine like terms: -2x + -4x = -6x -1 + -6x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -6x = 11 + 0 -1 + -6x = 11 Add '1' to each side of the equation. -1 + 1 + -6x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 11 + 1 -6x = 11 + 1 Combine like terms: 11 + 1 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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