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Simplifying -6(4x + 1) + 7x + 9(x + -13) = 4 Reorder the terms: -6(1 + 4x) + 7x + 9(x + -13) = 4 (1 * -6 + 4x * -6) + 7x + 9(x + -13) = 4 (-6 + -24x) + 7x + 9(x + -13) = 4 Reorder the terms: -6 + -24x + 7x + 9(-13 + x) = 4 -6 + -24x + 7x + (-13 * 9 + x * 9) = 4 -6 + -24x + 7x + (-117 + 9x) = 4 Reorder the terms: -6 + -117 + -24x + 7x + 9x = 4 Combine like terms: -6 + -117 = -123 -123 + -24x + 7x + 9x = 4 Combine like terms: -24x + 7x = -17x -123 + -17x + 9x = 4 Combine like terms: -17x + 9x = -8x -123 + -8x = 4 Solving -123 + -8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '123' to each side of the equation. -123 + 123 + -8x = 4 + 123 Combine like terms: -123 + 123 = 0 0 + -8x = 4 + 123 -8x = 4 + 123 Combine like terms: 4 + 123 = 127 -8x = 127 Divide each side by '-8'. x = -15.875 Simplifying x = -15.875
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