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