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Simplifying 6(x + 24) = 2(x + 30) Reorder the terms: 6(24 + x) = 2(x + 30) (24 * 6 + x * 6) = 2(x + 30) (144 + 6x) = 2(x + 30) Reorder the terms: 144 + 6x = 2(30 + x) 144 + 6x = (30 * 2 + x * 2) 144 + 6x = (60 + 2x) Solving 144 + 6x = 60 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 144 + 6x + -2x = 60 + 2x + -2x Combine like terms: 6x + -2x = 4x 144 + 4x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 144 + 4x = 60 + 0 144 + 4x = 60 Add '-144' to each side of the equation. 144 + -144 + 4x = 60 + -144 Combine like terms: 144 + -144 = 0 0 + 4x = 60 + -144 4x = 60 + -144 Combine like terms: 60 + -144 = -84 4x = -84 Divide each side by '4'. x = -21 Simplifying x = -21
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