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Simplifying 3(4x + 7) = 4(5x + -3) Reorder the terms: 3(7 + 4x) = 4(5x + -3) (7 * 3 + 4x * 3) = 4(5x + -3) (21 + 12x) = 4(5x + -3) Reorder the terms: 21 + 12x = 4(-3 + 5x) 21 + 12x = (-3 * 4 + 5x * 4) 21 + 12x = (-12 + 20x) Solving 21 + 12x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 21 + 12x + -20x = -12 + 20x + -20x Combine like terms: 12x + -20x = -8x 21 + -8x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 21 + -8x = -12 + 0 21 + -8x = -12 Add '-21' to each side of the equation. 21 + -21 + -8x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -12 + -21 -8x = -12 + -21 Combine like terms: -12 + -21 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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