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Simplifying 6(3x + -6) = 15 + 7(-5x + 9) Reorder the terms: 6(-6 + 3x) = 15 + 7(-5x + 9) (-6 * 6 + 3x * 6) = 15 + 7(-5x + 9) (-36 + 18x) = 15 + 7(-5x + 9) Reorder the terms: -36 + 18x = 15 + 7(9 + -5x) -36 + 18x = 15 + (9 * 7 + -5x * 7) -36 + 18x = 15 + (63 + -35x) Combine like terms: 15 + 63 = 78 -36 + 18x = 78 + -35x Solving -36 + 18x = 78 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -36 + 18x + 35x = 78 + -35x + 35x Combine like terms: 18x + 35x = 53x -36 + 53x = 78 + -35x + 35x Combine like terms: -35x + 35x = 0 -36 + 53x = 78 + 0 -36 + 53x = 78 Add '36' to each side of the equation. -36 + 36 + 53x = 78 + 36 Combine like terms: -36 + 36 = 0 0 + 53x = 78 + 36 53x = 78 + 36 Combine like terms: 78 + 36 = 114 53x = 114 Divide each side by '53'. x = 2.150943396 Simplifying x = 2.150943396
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