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Simplifying 6x + -1(4x + 9) = 3x + -49 Reorder the terms: 6x + -1(9 + 4x) = 3x + -49 6x + (9 * -1 + 4x * -1) = 3x + -49 6x + (-9 + -4x) = 3x + -49 Reorder the terms: -9 + 6x + -4x = 3x + -49 Combine like terms: 6x + -4x = 2x -9 + 2x = 3x + -49 Reorder the terms: -9 + 2x = -49 + 3x Solving -9 + 2x = -49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 2x + -3x = -49 + 3x + -3x Combine like terms: 2x + -3x = -1x -9 + -1x = -49 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -1x = -49 + 0 -9 + -1x = -49 Add '9' to each side of the equation. -9 + 9 + -1x = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -49 + 9 -1x = -49 + 9 Combine like terms: -49 + 9 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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