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Simplifying 15(7x + -6) = 3x + -5 Reorder the terms: 15(-6 + 7x) = 3x + -5 (-6 * 15 + 7x * 15) = 3x + -5 (-90 + 105x) = 3x + -5 Reorder the terms: -90 + 105x = -5 + 3x Solving -90 + 105x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -90 + 105x + -3x = -5 + 3x + -3x Combine like terms: 105x + -3x = 102x -90 + 102x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -90 + 102x = -5 + 0 -90 + 102x = -5 Add '90' to each side of the equation. -90 + 90 + 102x = -5 + 90 Combine like terms: -90 + 90 = 0 0 + 102x = -5 + 90 102x = -5 + 90 Combine like terms: -5 + 90 = 85 102x = 85 Divide each side by '102'. x = 0.8333333333 Simplifying x = 0.8333333333
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