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Simplifying 3x + 7(-2x + -3) = -24 + -8x Reorder the terms: 3x + 7(-3 + -2x) = -24 + -8x 3x + (-3 * 7 + -2x * 7) = -24 + -8x 3x + (-21 + -14x) = -24 + -8x Reorder the terms: -21 + 3x + -14x = -24 + -8x Combine like terms: 3x + -14x = -11x -21 + -11x = -24 + -8x Solving -21 + -11x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -21 + -11x + 8x = -24 + -8x + 8x Combine like terms: -11x + 8x = -3x -21 + -3x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + -3x = -24 + 0 -21 + -3x = -24 Add '21' to each side of the equation. -21 + 21 + -3x = -24 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -24 + 21 -3x = -24 + 21 Combine like terms: -24 + 21 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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