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Simplifying 24 + -1x = 7(3x + 5) Reorder the terms: 24 + -1x = 7(5 + 3x) 24 + -1x = (5 * 7 + 3x * 7) 24 + -1x = (35 + 21x) Solving 24 + -1x = 35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 24 + -1x + -21x = 35 + 21x + -21x Combine like terms: -1x + -21x = -22x 24 + -22x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 24 + -22x = 35 + 0 24 + -22x = 35 Add '-24' to each side of the equation. 24 + -24 + -22x = 35 + -24 Combine like terms: 24 + -24 = 0 0 + -22x = 35 + -24 -22x = 35 + -24 Combine like terms: 35 + -24 = 11 -22x = 11 Divide each side by '-22'. x = -0.5 Simplifying x = -0.5
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