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Simplifying 3x + -1(2x + 4) = 6x + -49 Reorder the terms: 3x + -1(4 + 2x) = 6x + -49 3x + (4 * -1 + 2x * -1) = 6x + -49 3x + (-4 + -2x) = 6x + -49 Reorder the terms: -4 + 3x + -2x = 6x + -49 Combine like terms: 3x + -2x = 1x -4 + 1x = 6x + -49 Reorder the terms: -4 + 1x = -49 + 6x Solving -4 + 1x = -49 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 1x + -6x = -49 + 6x + -6x Combine like terms: 1x + -6x = -5x -4 + -5x = -49 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -5x = -49 + 0 -4 + -5x = -49 Add '4' to each side of the equation. -4 + 4 + -5x = -49 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -49 + 4 -5x = -49 + 4 Combine like terms: -49 + 4 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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