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Simplifying 6(2x + 4) = 4(4x + 7) Reorder the terms: 6(4 + 2x) = 4(4x + 7) (4 * 6 + 2x * 6) = 4(4x + 7) (24 + 12x) = 4(4x + 7) Reorder the terms: 24 + 12x = 4(7 + 4x) 24 + 12x = (7 * 4 + 4x * 4) 24 + 12x = (28 + 16x) Solving 24 + 12x = 28 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 12x + -16x = 28 + 16x + -16x Combine like terms: 12x + -16x = -4x 24 + -4x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -4x = 28 + 0 24 + -4x = 28 Add '-24' to each side of the equation. 24 + -24 + -4x = 28 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 28 + -24 -4x = 28 + -24 Combine like terms: 28 + -24 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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