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Simplifying 6(x + 5) = 3(x + 19) Reorder the terms: 6(5 + x) = 3(x + 19) (5 * 6 + x * 6) = 3(x + 19) (30 + 6x) = 3(x + 19) Reorder the terms: 30 + 6x = 3(19 + x) 30 + 6x = (19 * 3 + x * 3) 30 + 6x = (57 + 3x) Solving 30 + 6x = 57 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 6x + -3x = 57 + 3x + -3x Combine like terms: 6x + -3x = 3x 30 + 3x = 57 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 3x = 57 + 0 30 + 3x = 57 Add '-30' to each side of the equation. 30 + -30 + 3x = 57 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 57 + -30 3x = 57 + -30 Combine like terms: 57 + -30 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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