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Simplifying 4(3x + 7) = -2(3x + 4) Reorder the terms: 4(7 + 3x) = -2(3x + 4) (7 * 4 + 3x * 4) = -2(3x + 4) (28 + 12x) = -2(3x + 4) Reorder the terms: 28 + 12x = -2(4 + 3x) 28 + 12x = (4 * -2 + 3x * -2) 28 + 12x = (-8 + -6x) Solving 28 + 12x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 28 + 12x + 6x = -8 + -6x + 6x Combine like terms: 12x + 6x = 18x 28 + 18x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + 18x = -8 + 0 28 + 18x = -8 Add '-28' to each side of the equation. 28 + -28 + 18x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 18x = -8 + -28 18x = -8 + -28 Combine like terms: -8 + -28 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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