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Simplifying -6(3x + 10) + 4(2 + -1x) = 15 Reorder the terms: -6(10 + 3x) + 4(2 + -1x) = 15 (10 * -6 + 3x * -6) + 4(2 + -1x) = 15 (-60 + -18x) + 4(2 + -1x) = 15 -60 + -18x + (2 * 4 + -1x * 4) = 15 -60 + -18x + (8 + -4x) = 15 Reorder the terms: -60 + 8 + -18x + -4x = 15 Combine like terms: -60 + 8 = -52 -52 + -18x + -4x = 15 Combine like terms: -18x + -4x = -22x -52 + -22x = 15 Solving -52 + -22x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -22x = 15 + 52 Combine like terms: -52 + 52 = 0 0 + -22x = 15 + 52 -22x = 15 + 52 Combine like terms: 15 + 52 = 67 -22x = 67 Divide each side by '-22'. x = -3.045454545 Simplifying x = -3.045454545
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