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Simplifying 24 = 7x + 6(-4x + -13) Reorder the terms: 24 = 7x + 6(-13 + -4x) 24 = 7x + (-13 * 6 + -4x * 6) 24 = 7x + (-78 + -24x) Reorder the terms: 24 = -78 + 7x + -24x Combine like terms: 7x + -24x = -17x 24 = -78 + -17x Solving 24 = -78 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 24 + 17x = -78 + -17x + 17x Combine like terms: -17x + 17x = 0 24 + 17x = -78 + 0 24 + 17x = -78 Add '-24' to each side of the equation. 24 + -24 + 17x = -78 + -24 Combine like terms: 24 + -24 = 0 0 + 17x = -78 + -24 17x = -78 + -24 Combine like terms: -78 + -24 = -102 17x = -102 Divide each side by '17'. x = -6 Simplifying x = -6
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