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Simplifying 24 = 4(x + -7) + 8(1 + -6x) Reorder the terms: 24 = 4(-7 + x) + 8(1 + -6x) 24 = (-7 * 4 + x * 4) + 8(1 + -6x) 24 = (-28 + 4x) + 8(1 + -6x) 24 = -28 + 4x + (1 * 8 + -6x * 8) 24 = -28 + 4x + (8 + -48x) Reorder the terms: 24 = -28 + 8 + 4x + -48x Combine like terms: -28 + 8 = -20 24 = -20 + 4x + -48x Combine like terms: 4x + -48x = -44x 24 = -20 + -44x Solving 24 = -20 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. 24 + 44x = -20 + -44x + 44x Combine like terms: -44x + 44x = 0 24 + 44x = -20 + 0 24 + 44x = -20 Add '-24' to each side of the equation. 24 + -24 + 44x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 44x = -20 + -24 44x = -20 + -24 Combine like terms: -20 + -24 = -44 44x = -44 Divide each side by '44'. x = -1 Simplifying x = -1
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