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Simplifying 4x + 2(3x + 8) = 32 + 2x Reorder the terms: 4x + 2(8 + 3x) = 32 + 2x 4x + (8 * 2 + 3x * 2) = 32 + 2x 4x + (16 + 6x) = 32 + 2x Reorder the terms: 16 + 4x + 6x = 32 + 2x Combine like terms: 4x + 6x = 10x 16 + 10x = 32 + 2x Solving 16 + 10x = 32 + 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. 16 + 10x + -2x = 32 + 2x + -2x Combine like terms: 10x + -2x = 8x 16 + 8x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 8x = 32 + 0 16 + 8x = 32 Add '-16' to each side of the equation. 16 + -16 + 8x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 32 + -16 8x = 32 + -16 Combine like terms: 32 + -16 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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