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Simplifying -6(4x + 1) + 7x + 9(x + -3) = 4 Reorder the terms: -6(1 + 4x) + 7x + 9(x + -3) = 4 (1 * -6 + 4x * -6) + 7x + 9(x + -3) = 4 (-6 + -24x) + 7x + 9(x + -3) = 4 Reorder the terms: -6 + -24x + 7x + 9(-3 + x) = 4 -6 + -24x + 7x + (-3 * 9 + x * 9) = 4 -6 + -24x + 7x + (-27 + 9x) = 4 Reorder the terms: -6 + -27 + -24x + 7x + 9x = 4 Combine like terms: -6 + -27 = -33 -33 + -24x + 7x + 9x = 4 Combine like terms: -24x + 7x = -17x -33 + -17x + 9x = 4 Combine like terms: -17x + 9x = -8x -33 + -8x = 4 Solving -33 + -8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -8x = 4 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = 4 + 33 -8x = 4 + 33 Combine like terms: 4 + 33 = 37 -8x = 37 Divide each side by '-8'. x = -4.625 Simplifying x = -4.625
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