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Simplifying 3(-3x + 8) = -7(4x + 2) Reorder the terms: 3(8 + -3x) = -7(4x + 2) (8 * 3 + -3x * 3) = -7(4x + 2) (24 + -9x) = -7(4x + 2) Reorder the terms: 24 + -9x = -7(2 + 4x) 24 + -9x = (2 * -7 + 4x * -7) 24 + -9x = (-14 + -28x) Solving 24 + -9x = -14 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 24 + -9x + 28x = -14 + -28x + 28x Combine like terms: -9x + 28x = 19x 24 + 19x = -14 + -28x + 28x Combine like terms: -28x + 28x = 0 24 + 19x = -14 + 0 24 + 19x = -14 Add '-24' to each side of the equation. 24 + -24 + 19x = -14 + -24 Combine like terms: 24 + -24 = 0 0 + 19x = -14 + -24 19x = -14 + -24 Combine like terms: -14 + -24 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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