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Simplifying 6X + -1(3x + 5) = 7x + -37 Reorder the terms: 6X + -1(5 + 3x) = 7x + -37 6X + (5 * -1 + 3x * -1) = 7x + -37 6X + (-5 + -3x) = 7x + -37 Reorder the terms: -5 + 6X + -3x = 7x + -37 Reorder the terms: -5 + 6X + -3x = -37 + 7x Solving -5 + 6X + -3x = -37 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 6X + 5 + -3x = -37 + 5 + 7x Reorder the terms: -5 + 5 + 6X + -3x = -37 + 5 + 7x Combine like terms: -5 + 5 = 0 0 + 6X + -3x = -37 + 5 + 7x 6X + -3x = -37 + 5 + 7x Combine like terms: -37 + 5 = -32 6X + -3x = -32 + 7x Add '3x' to each side of the equation. 6X + -3x + 3x = -32 + 7x + 3x Combine like terms: -3x + 3x = 0 6X + 0 = -32 + 7x + 3x 6X = -32 + 7x + 3x Combine like terms: 7x + 3x = 10x 6X = -32 + 10x Divide each side by '6'. X = -5.333333333 + 1.666666667x Simplifying X = -5.333333333 + 1.666666667x
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