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Simplifying 4(4x + 2) = 3(7x + -4) Reorder the terms: 4(2 + 4x) = 3(7x + -4) (2 * 4 + 4x * 4) = 3(7x + -4) (8 + 16x) = 3(7x + -4) Reorder the terms: 8 + 16x = 3(-4 + 7x) 8 + 16x = (-4 * 3 + 7x * 3) 8 + 16x = (-12 + 21x) Solving 8 + 16x = -12 + 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. 8 + 16x + -21x = -12 + 21x + -21x Combine like terms: 16x + -21x = -5x 8 + -5x = -12 + 21x + -21x Combine like terms: 21x + -21x = 0 8 + -5x = -12 + 0 8 + -5x = -12 Add '-8' to each side of the equation. 8 + -8 + -5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -12 + -8 -5x = -12 + -8 Combine like terms: -12 + -8 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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