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Simplifying 4x + -1[(2x + -4) + 6] + -3x = -117 Reorder the terms: 4x + -1[(-4 + 2x) + 6] + -3x = -117 Remove parenthesis around (-4 + 2x) 4x + -1[-4 + 2x + 6] + -3x = -117 Reorder the terms: 4x + -1[-4 + 6 + 2x] + -3x = -117 Combine like terms: -4 + 6 = 2 4x + -1[2 + 2x] + -3x = -117 4x + [2 * -1 + 2x * -1] + -3x = -117 4x + [-2 + -2x] + -3x = -117 Reorder the terms: -2 + 4x + -2x + -3x = -117 Combine like terms: 4x + -2x = 2x -2 + 2x + -3x = -117 Combine like terms: 2x + -3x = -1x -2 + -1x = -117 Solving -2 + -1x = -117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = -117 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -117 + 2 -1x = -117 + 2 Combine like terms: -117 + 2 = -115 -1x = -115 Divide each side by '-1'. x = 115 Simplifying x = 115
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