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Simplifying 4(2x + 3) = 7(3x + -2) Reorder the terms: 4(3 + 2x) = 7(3x + -2) (3 * 4 + 2x * 4) = 7(3x + -2) (12 + 8x) = 7(3x + -2) Reorder the terms: 12 + 8x = 7(-2 + 3x) 12 + 8x = (-2 * 7 + 3x * 7) 12 + 8x = (-14 + 21x) Solving 12 + 8x = -14 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 12 + 8x + -21x = -14 + 21x + -21x Combine like terms: 8x + -21x = -13x 12 + -13x = -14 + 21x + -21x Combine like terms: 21x + -21x = 0 12 + -13x = -14 + 0 12 + -13x = -14 Add '-12' to each side of the equation. 12 + -12 + -13x = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -14 + -12 -13x = -14 + -12 Combine like terms: -14 + -12 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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