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Simplifying 24 = 7x + 6(x + -9) Reorder the terms: 24 = 7x + 6(-9 + x) 24 = 7x + (-9 * 6 + x * 6) 24 = 7x + (-54 + 6x) Reorder the terms: 24 = -54 + 7x + 6x Combine like terms: 7x + 6x = 13x 24 = -54 + 13x Solving 24 = -54 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 24 + -13x = -54 + 13x + -13x Combine like terms: 13x + -13x = 0 24 + -13x = -54 + 0 24 + -13x = -54 Add '-24' to each side of the equation. 24 + -24 + -13x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -13x = -54 + -24 -13x = -54 + -24 Combine like terms: -54 + -24 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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