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Simplifying 2(3x + -7) = 6(5x + 9) + 9 Reorder the terms: 2(-7 + 3x) = 6(5x + 9) + 9 (-7 * 2 + 3x * 2) = 6(5x + 9) + 9 (-14 + 6x) = 6(5x + 9) + 9 Reorder the terms: -14 + 6x = 6(9 + 5x) + 9 -14 + 6x = (9 * 6 + 5x * 6) + 9 -14 + 6x = (54 + 30x) + 9 Reorder the terms: -14 + 6x = 54 + 9 + 30x Combine like terms: 54 + 9 = 63 -14 + 6x = 63 + 30x Solving -14 + 6x = 63 + 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. -14 + 6x + -30x = 63 + 30x + -30x Combine like terms: 6x + -30x = -24x -14 + -24x = 63 + 30x + -30x Combine like terms: 30x + -30x = 0 -14 + -24x = 63 + 0 -14 + -24x = 63 Add '14' to each side of the equation. -14 + 14 + -24x = 63 + 14 Combine like terms: -14 + 14 = 0 0 + -24x = 63 + 14 -24x = 63 + 14 Combine like terms: 63 + 14 = 77 -24x = 77 Divide each side by '-24'. x = -3.208333333 Simplifying x = -3.208333333
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