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Simplifying 30 + (4x + 2) = 8 + 6x Reorder the terms: 30 + (2 + 4x) = 8 + 6x Remove parenthesis around (2 + 4x) 30 + 2 + 4x = 8 + 6x Combine like terms: 30 + 2 = 32 32 + 4x = 8 + 6x Solving 32 + 4x = 8 + 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. 32 + 4x + -6x = 8 + 6x + -6x Combine like terms: 4x + -6x = -2x 32 + -2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -2x = 8 + 0 32 + -2x = 8 Add '-32' to each side of the equation. 32 + -32 + -2x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 8 + -32 -2x = 8 + -32 Combine like terms: 8 + -32 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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