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Simplifying 6(2x + 5) = 4x + 33 Reorder the terms: 6(5 + 2x) = 4x + 33 (5 * 6 + 2x * 6) = 4x + 33 (30 + 12x) = 4x + 33 Reorder the terms: 30 + 12x = 33 + 4x Solving 30 + 12x = 33 + 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. 30 + 12x + -4x = 33 + 4x + -4x Combine like terms: 12x + -4x = 8x 30 + 8x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 8x = 33 + 0 30 + 8x = 33 Add '-30' to each side of the equation. 30 + -30 + 8x = 33 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 33 + -30 8x = 33 + -30 Combine like terms: 33 + -30 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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