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Simplifying 2(6 + 2x) + 3 = 4(6 + 5x) (6 * 2 + 2x * 2) + 3 = 4(6 + 5x) (12 + 4x) + 3 = 4(6 + 5x) Reorder the terms: 12 + 3 + 4x = 4(6 + 5x) Combine like terms: 12 + 3 = 15 15 + 4x = 4(6 + 5x) 15 + 4x = (6 * 4 + 5x * 4) 15 + 4x = (24 + 20x) Solving 15 + 4x = 24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 15 + 4x + -20x = 24 + 20x + -20x Combine like terms: 4x + -20x = -16x 15 + -16x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + -16x = 24 + 0 15 + -16x = 24 Add '-15' to each side of the equation. 15 + -15 + -16x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -16x = 24 + -15 -16x = 24 + -15 Combine like terms: 24 + -15 = 9 -16x = 9 Divide each side by '-16'. x = -0.5625 Simplifying x = -0.5625
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