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Simplifying 2(3x + 2) = 6(5x + 9) + 3 Reorder the terms: 2(2 + 3x) = 6(5x + 9) + 3 (2 * 2 + 3x * 2) = 6(5x + 9) + 3 (4 + 6x) = 6(5x + 9) + 3 Reorder the terms: 4 + 6x = 6(9 + 5x) + 3 4 + 6x = (9 * 6 + 5x * 6) + 3 4 + 6x = (54 + 30x) + 3 Reorder the terms: 4 + 6x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 4 + 6x = 57 + 30x Solving 4 + 6x = 57 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 6x + -30x = 57 + 30x + -30x Combine like terms: 6x + -30x = -24x 4 + -24x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 4 + -24x = 57 + 0 4 + -24x = 57 Add '-4' to each side of the equation. 4 + -4 + -24x = 57 + -4 Combine like terms: 4 + -4 = 0 0 + -24x = 57 + -4 -24x = 57 + -4 Combine like terms: 57 + -4 = 53 -24x = 53 Divide each side by '-24'. x = -2.208333333 Simplifying x = -2.208333333
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