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Simplifying 6(x + 5) = 4(x + 12) Reorder the terms: 6(5 + x) = 4(x + 12) (5 * 6 + x * 6) = 4(x + 12) (30 + 6x) = 4(x + 12) Reorder the terms: 30 + 6x = 4(12 + x) 30 + 6x = (12 * 4 + x * 4) 30 + 6x = (48 + 4x) Solving 30 + 6x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 6x + -4x = 48 + 4x + -4x Combine like terms: 6x + -4x = 2x 30 + 2x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 2x = 48 + 0 30 + 2x = 48 Add '-30' to each side of the equation. 30 + -30 + 2x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 48 + -30 2x = 48 + -30 Combine like terms: 48 + -30 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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