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Simplifying 6(2x + 3) = 4x + 5 Reorder the terms: 6(3 + 2x) = 4x + 5 (3 * 6 + 2x * 6) = 4x + 5 (18 + 12x) = 4x + 5 Reorder the terms: 18 + 12x = 5 + 4x Solving 18 + 12x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 12x + -4x = 5 + 4x + -4x Combine like terms: 12x + -4x = 8x 18 + 8x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 8x = 5 + 0 18 + 8x = 5 Add '-18' to each side of the equation. 18 + -18 + 8x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 5 + -18 8x = 5 + -18 Combine like terms: 5 + -18 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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