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Simplifying 12(2x + -1) = 9(2x + 1) + 15 Reorder the terms: 12(-1 + 2x) = 9(2x + 1) + 15 (-1 * 12 + 2x * 12) = 9(2x + 1) + 15 (-12 + 24x) = 9(2x + 1) + 15 Reorder the terms: -12 + 24x = 9(1 + 2x) + 15 -12 + 24x = (1 * 9 + 2x * 9) + 15 -12 + 24x = (9 + 18x) + 15 Reorder the terms: -12 + 24x = 9 + 15 + 18x Combine like terms: 9 + 15 = 24 -12 + 24x = 24 + 18x Solving -12 + 24x = 24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 24x + -18x = 24 + 18x + -18x Combine like terms: 24x + -18x = 6x -12 + 6x = 24 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + 6x = 24 + 0 -12 + 6x = 24 Add '12' to each side of the equation. -12 + 12 + 6x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 24 + 12 6x = 24 + 12 Combine like terms: 24 + 12 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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