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Simplifying 2x + 3(X + -5) = 7x + 2x + -7 Reorder the terms: 2x + 3(-5 + X) = 7x + 2x + -7 2x + (-5 * 3 + X * 3) = 7x + 2x + -7 2x + (-15 + 3X) = 7x + 2x + -7 Reorder the terms: -15 + 3X + 2x = 7x + 2x + -7 Reorder the terms: -15 + 3X + 2x = -7 + 7x + 2x Combine like terms: 7x + 2x = 9x -15 + 3X + 2x = -7 + 9x Solving -15 + 3X + 2x = -7 + 9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3X + 15 + 2x = -7 + 15 + 9x Reorder the terms: -15 + 15 + 3X + 2x = -7 + 15 + 9x Combine like terms: -15 + 15 = 0 0 + 3X + 2x = -7 + 15 + 9x 3X + 2x = -7 + 15 + 9x Combine like terms: -7 + 15 = 8 3X + 2x = 8 + 9x Add '-2x' to each side of the equation. 3X + 2x + -2x = 8 + 9x + -2x Combine like terms: 2x + -2x = 0 3X + 0 = 8 + 9x + -2x 3X = 8 + 9x + -2x Combine like terms: 9x + -2x = 7x 3X = 8 + 7x Divide each side by '3'. X = 2.666666667 + 2.333333333x Simplifying X = 2.666666667 + 2.333333333x
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