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Simplifying 4x + -2(3 + -1x) = -117 + 63 4x + (3 * -2 + -1x * -2) = -117 + 63 4x + (-6 + 2x) = -117 + 63 Reorder the terms: -6 + 4x + 2x = -117 + 63 Combine like terms: 4x + 2x = 6x -6 + 6x = -117 + 63 Combine like terms: -117 + 63 = -54 -6 + 6x = -54 Solving -6 + 6x = -54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -54 + 6 6x = -54 + 6 Combine like terms: -54 + 6 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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