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Simplifying 4(3x + 7) = 5(4x + -12) Reorder the terms: 4(7 + 3x) = 5(4x + -12) (7 * 4 + 3x * 4) = 5(4x + -12) (28 + 12x) = 5(4x + -12) Reorder the terms: 28 + 12x = 5(-12 + 4x) 28 + 12x = (-12 * 5 + 4x * 5) 28 + 12x = (-60 + 20x) Solving 28 + 12x = -60 + 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. 28 + 12x + -20x = -60 + 20x + -20x Combine like terms: 12x + -20x = -8x 28 + -8x = -60 + 20x + -20x Combine like terms: 20x + -20x = 0 28 + -8x = -60 + 0 28 + -8x = -60 Add '-28' to each side of the equation. 28 + -28 + -8x = -60 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = -60 + -28 -8x = -60 + -28 Combine like terms: -60 + -28 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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