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Simplifying 4(3x + 6) = -7x Reorder the terms: 4(6 + 3x) = -7x (6 * 4 + 3x * 4) = -7x (24 + 12x) = -7x Solving 24 + 12x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + 12x + 7x = -7x + 7x Combine like terms: 12x + 7x = 19x 24 + 19x = -7x + 7x Combine like terms: -7x + 7x = 0 24 + 19x = 0 Add '-24' to each side of the equation. 24 + -24 + 19x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 19x = 0 + -24 19x = 0 + -24 Combine like terms: 0 + -24 = -24 19x = -24 Divide each side by '19'. x = -1.263157895 Simplifying x = -1.263157895
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