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Simplifying 15 + -1(6x + 5) + -1(10x + -2) = 0 Reorder the terms: 15 + -1(5 + 6x) + -1(10x + -2) = 0 15 + (5 * -1 + 6x * -1) + -1(10x + -2) = 0 15 + (-5 + -6x) + -1(10x + -2) = 0 Reorder the terms: 15 + -5 + -6x + -1(-2 + 10x) = 0 15 + -5 + -6x + (-2 * -1 + 10x * -1) = 0 15 + -5 + -6x + (2 + -10x) = 0 Reorder the terms: 15 + -5 + 2 + -6x + -10x = 0 Combine like terms: 15 + -5 = 10 10 + 2 + -6x + -10x = 0 Combine like terms: 10 + 2 = 12 12 + -6x + -10x = 0 Combine like terms: -6x + -10x = -16x 12 + -16x = 0 Solving 12 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -16x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 0 + -12 -16x = 0 + -12 Combine like terms: 0 + -12 = -12 -16x = -12 Divide each side by '-16'. x = 0.75 Simplifying x = 0.75
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