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Simplifying 4(2x + 12) = 2(3x + 50) Reorder the terms: 4(12 + 2x) = 2(3x + 50) (12 * 4 + 2x * 4) = 2(3x + 50) (48 + 8x) = 2(3x + 50) Reorder the terms: 48 + 8x = 2(50 + 3x) 48 + 8x = (50 * 2 + 3x * 2) 48 + 8x = (100 + 6x) Solving 48 + 8x = 100 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + 8x + -6x = 100 + 6x + -6x Combine like terms: 8x + -6x = 2x 48 + 2x = 100 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + 2x = 100 + 0 48 + 2x = 100 Add '-48' to each side of the equation. 48 + -48 + 2x = 100 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 100 + -48 2x = 100 + -48 Combine like terms: 100 + -48 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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