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Simplifying 6 + 7(-5x + -3) = -2(-7x + -3) + 8 Reorder the terms: 6 + 7(-3 + -5x) = -2(-7x + -3) + 8 6 + (-3 * 7 + -5x * 7) = -2(-7x + -3) + 8 6 + (-21 + -35x) = -2(-7x + -3) + 8 Combine like terms: 6 + -21 = -15 -15 + -35x = -2(-7x + -3) + 8 Reorder the terms: -15 + -35x = -2(-3 + -7x) + 8 -15 + -35x = (-3 * -2 + -7x * -2) + 8 -15 + -35x = (6 + 14x) + 8 Reorder the terms: -15 + -35x = 6 + 8 + 14x Combine like terms: 6 + 8 = 14 -15 + -35x = 14 + 14x Solving -15 + -35x = 14 + 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. -15 + -35x + -14x = 14 + 14x + -14x Combine like terms: -35x + -14x = -49x -15 + -49x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -49x = 14 + 0 -15 + -49x = 14 Add '15' to each side of the equation. -15 + 15 + -49x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -49x = 14 + 15 -49x = 14 + 15 Combine like terms: 14 + 15 = 29 -49x = 29 Divide each side by '-49'. x = -0.5918367347 Simplifying x = -0.5918367347
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