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Simplifying 3(2x + -5) = 2 + -1(-1x + 6) + -7x Reorder the terms: 3(-5 + 2x) = 2 + -1(-1x + 6) + -7x (-5 * 3 + 2x * 3) = 2 + -1(-1x + 6) + -7x (-15 + 6x) = 2 + -1(-1x + 6) + -7x Reorder the terms: -15 + 6x = 2 + -1(6 + -1x) + -7x -15 + 6x = 2 + (6 * -1 + -1x * -1) + -7x -15 + 6x = 2 + (-6 + 1x) + -7x Combine like terms: 2 + -6 = -4 -15 + 6x = -4 + 1x + -7x Combine like terms: 1x + -7x = -6x -15 + 6x = -4 + -6x Solving -15 + 6x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 6x + 6x = -4 + -6x + 6x Combine like terms: 6x + 6x = 12x -15 + 12x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 12x = -4 + 0 -15 + 12x = -4 Add '15' to each side of the equation. -15 + 15 + 12x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -4 + 15 12x = -4 + 15 Combine like terms: -4 + 15 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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