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Simplifying 5 + -7(3x + 2) = -10x + 24 Reorder the terms: 5 + -7(2 + 3x) = -10x + 24 5 + (2 * -7 + 3x * -7) = -10x + 24 5 + (-14 + -21x) = -10x + 24 Combine like terms: 5 + -14 = -9 -9 + -21x = -10x + 24 Reorder the terms: -9 + -21x = 24 + -10x Solving -9 + -21x = 24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -9 + -21x + 10x = 24 + -10x + 10x Combine like terms: -21x + 10x = -11x -9 + -11x = 24 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + -11x = 24 + 0 -9 + -11x = 24 Add '9' to each side of the equation. -9 + 9 + -11x = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = 24 + 9 -11x = 24 + 9 Combine like terms: 24 + 9 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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