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