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Simplifying -6(4x + 1) + 9(x + -4) + 7x = -5 Reorder the terms: -6(1 + 4x) + 9(x + -4) + 7x = -5 (1 * -6 + 4x * -6) + 9(x + -4) + 7x = -5 (-6 + -24x) + 9(x + -4) + 7x = -5 Reorder the terms: -6 + -24x + 9(-4 + x) + 7x = -5 -6 + -24x + (-4 * 9 + x * 9) + 7x = -5 -6 + -24x + (-36 + 9x) + 7x = -5 Reorder the terms: -6 + -36 + -24x + 9x + 7x = -5 Combine like terms: -6 + -36 = -42 -42 + -24x + 9x + 7x = -5 Combine like terms: -24x + 9x = -15x -42 + -15x + 7x = -5 Combine like terms: -15x + 7x = -8x -42 + -8x = -5 Solving -42 + -8x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -8x = -5 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = -5 + 42 -8x = -5 + 42 Combine like terms: -5 + 42 = 37 -8x = 37 Divide each side by '-8'. x = -4.625 Simplifying x = -4.625
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