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Simplifying 6(-1x + 4) = 9(x + -4) Reorder the terms: 6(4 + -1x) = 9(x + -4) (4 * 6 + -1x * 6) = 9(x + -4) (24 + -6x) = 9(x + -4) Reorder the terms: 24 + -6x = 9(-4 + x) 24 + -6x = (-4 * 9 + x * 9) 24 + -6x = (-36 + 9x) Solving 24 + -6x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + -6x + -9x = -36 + 9x + -9x Combine like terms: -6x + -9x = -15x 24 + -15x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -15x = -36 + 0 24 + -15x = -36 Add '-24' to each side of the equation. 24 + -24 + -15x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = -36 + -24 -15x = -36 + -24 Combine like terms: -36 + -24 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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