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Simplifying -2(x + 2) = 3x + -6x + 49x + -4 Reorder the terms: -2(2 + x) = 3x + -6x + 49x + -4 (2 * -2 + x * -2) = 3x + -6x + 49x + -4 (-4 + -2x) = 3x + -6x + 49x + -4 Reorder the terms: -4 + -2x = -4 + 3x + -6x + 49x Combine like terms: 3x + -6x = -3x -4 + -2x = -4 + -3x + 49x Combine like terms: -3x + 49x = 46x -4 + -2x = -4 + 46x Add '4' to each side of the equation. -4 + 4 + -2x = -4 + 4 + 46x Combine like terms: -4 + 4 = 0 0 + -2x = -4 + 4 + 46x -2x = -4 + 4 + 46x Combine like terms: -4 + 4 = 0 -2x = 0 + 46x -2x = 46x Solving -2x = 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -2x + -46x = 46x + -46x Combine like terms: -2x + -46x = -48x -48x = 46x + -46x Combine like terms: 46x + -46x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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