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Simplifying 24x + -8 = 7 + -1(3x + -15) Reorder the terms: -8 + 24x = 7 + -1(3x + -15) Reorder the terms: -8 + 24x = 7 + -1(-15 + 3x) -8 + 24x = 7 + (-15 * -1 + 3x * -1) -8 + 24x = 7 + (15 + -3x) Combine like terms: 7 + 15 = 22 -8 + 24x = 22 + -3x Solving -8 + 24x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 24x + 3x = 22 + -3x + 3x Combine like terms: 24x + 3x = 27x -8 + 27x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 27x = 22 + 0 -8 + 27x = 22 Add '8' to each side of the equation. -8 + 8 + 27x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 27x = 22 + 8 27x = 22 + 8 Combine like terms: 22 + 8 = 30 27x = 30 Divide each side by '27'. x = 1.111111111 Simplifying x = 1.111111111
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