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Simplifying 15(6x + -8) = 14(x + -5) + -2 Reorder the terms: 15(-8 + 6x) = 14(x + -5) + -2 (-8 * 15 + 6x * 15) = 14(x + -5) + -2 (-120 + 90x) = 14(x + -5) + -2 Reorder the terms: -120 + 90x = 14(-5 + x) + -2 -120 + 90x = (-5 * 14 + x * 14) + -2 -120 + 90x = (-70 + 14x) + -2 Reorder the terms: -120 + 90x = -70 + -2 + 14x Combine like terms: -70 + -2 = -72 -120 + 90x = -72 + 14x Solving -120 + 90x = -72 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -120 + 90x + -14x = -72 + 14x + -14x Combine like terms: 90x + -14x = 76x -120 + 76x = -72 + 14x + -14x Combine like terms: 14x + -14x = 0 -120 + 76x = -72 + 0 -120 + 76x = -72 Add '120' to each side of the equation. -120 + 120 + 76x = -72 + 120 Combine like terms: -120 + 120 = 0 0 + 76x = -72 + 120 76x = -72 + 120 Combine like terms: -72 + 120 = 48 76x = 48 Divide each side by '76'. x = 0.6315789474 Simplifying x = 0.6315789474
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