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Simplifying -2(3x + 1) = 4(x + 2) + 4 Reorder the terms: -2(1 + 3x) = 4(x + 2) + 4 (1 * -2 + 3x * -2) = 4(x + 2) + 4 (-2 + -6x) = 4(x + 2) + 4 Reorder the terms: -2 + -6x = 4(2 + x) + 4 -2 + -6x = (2 * 4 + x * 4) + 4 -2 + -6x = (8 + 4x) + 4 Reorder the terms: -2 + -6x = 8 + 4 + 4x Combine like terms: 8 + 4 = 12 -2 + -6x = 12 + 4x Solving -2 + -6x = 12 + 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. -2 + -6x + -4x = 12 + 4x + -4x Combine like terms: -6x + -4x = -10x -2 + -10x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -10x = 12 + 0 -2 + -10x = 12 Add '2' to each side of the equation. -2 + 2 + -10x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 12 + 2 -10x = 12 + 2 Combine like terms: 12 + 2 = 14 -10x = 14 Divide each side by '-10'. x = -1.4 Simplifying x = -1.4
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