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Simplifying 4x + 3(2x + 1) = 2x + 27 Reorder the terms: 4x + 3(1 + 2x) = 2x + 27 4x + (1 * 3 + 2x * 3) = 2x + 27 4x + (3 + 6x) = 2x + 27 Reorder the terms: 3 + 4x + 6x = 2x + 27 Combine like terms: 4x + 6x = 10x 3 + 10x = 2x + 27 Reorder the terms: 3 + 10x = 27 + 2x Solving 3 + 10x = 27 + 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. 3 + 10x + -2x = 27 + 2x + -2x Combine like terms: 10x + -2x = 8x 3 + 8x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 8x = 27 + 0 3 + 8x = 27 Add '-3' to each side of the equation. 3 + -3 + 8x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 27 + -3 8x = 27 + -3 Combine like terms: 27 + -3 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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