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Simplifying 15(3x + -6) = 8x + -7 Reorder the terms: 15(-6 + 3x) = 8x + -7 (-6 * 15 + 3x * 15) = 8x + -7 (-90 + 45x) = 8x + -7 Reorder the terms: -90 + 45x = -7 + 8x Solving -90 + 45x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -90 + 45x + -8x = -7 + 8x + -8x Combine like terms: 45x + -8x = 37x -90 + 37x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -90 + 37x = -7 + 0 -90 + 37x = -7 Add '90' to each side of the equation. -90 + 90 + 37x = -7 + 90 Combine like terms: -90 + 90 = 0 0 + 37x = -7 + 90 37x = -7 + 90 Combine like terms: -7 + 90 = 83 37x = 83 Divide each side by '37'. x = 2.243243243 Simplifying x = 2.243243243
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