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Simplifying 3(8 + -2x) = 7(3 + -2x) (8 * 3 + -2x * 3) = 7(3 + -2x) (24 + -6x) = 7(3 + -2x) 24 + -6x = (3 * 7 + -2x * 7) 24 + -6x = (21 + -14x) Solving 24 + -6x = 21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 24 + -6x + 14x = 21 + -14x + 14x Combine like terms: -6x + 14x = 8x 24 + 8x = 21 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + 8x = 21 + 0 24 + 8x = 21 Add '-24' to each side of the equation. 24 + -24 + 8x = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 21 + -24 8x = 21 + -24 Combine like terms: 21 + -24 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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