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Simplifying 117x + -9(x + 4) = 3x + -26 Reorder the terms: 117x + -9(4 + x) = 3x + -26 117x + (4 * -9 + x * -9) = 3x + -26 117x + (-36 + -9x) = 3x + -26 Reorder the terms: -36 + 117x + -9x = 3x + -26 Combine like terms: 117x + -9x = 108x -36 + 108x = 3x + -26 Reorder the terms: -36 + 108x = -26 + 3x Solving -36 + 108x = -26 + 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. -36 + 108x + -3x = -26 + 3x + -3x Combine like terms: 108x + -3x = 105x -36 + 105x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 105x = -26 + 0 -36 + 105x = -26 Add '36' to each side of the equation. -36 + 36 + 105x = -26 + 36 Combine like terms: -36 + 36 = 0 0 + 105x = -26 + 36 105x = -26 + 36 Combine like terms: -26 + 36 = 10 105x = 10 Divide each side by '105'. x = 0.09523809524 Simplifying x = 0.09523809524
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