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Simplifying 5(X + -7) + -6x = -28 + 2(x + -2) Reorder the terms: 5(-7 + X) + -6x = -28 + 2(x + -2) (-7 * 5 + X * 5) + -6x = -28 + 2(x + -2) (-35 + 5X) + -6x = -28 + 2(x + -2) Reorder the terms: -35 + 5X + -6x = -28 + 2(-2 + x) -35 + 5X + -6x = -28 + (-2 * 2 + x * 2) -35 + 5X + -6x = -28 + (-4 + 2x) Combine like terms: -28 + -4 = -32 -35 + 5X + -6x = -32 + 2x Solving -35 + 5X + -6x = -32 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 5X + 35 + -6x = -32 + 35 + 2x Reorder the terms: -35 + 35 + 5X + -6x = -32 + 35 + 2x Combine like terms: -35 + 35 = 0 0 + 5X + -6x = -32 + 35 + 2x 5X + -6x = -32 + 35 + 2x Combine like terms: -32 + 35 = 3 5X + -6x = 3 + 2x Add '6x' to each side of the equation. 5X + -6x + 6x = 3 + 2x + 6x Combine like terms: -6x + 6x = 0 5X + 0 = 3 + 2x + 6x 5X = 3 + 2x + 6x Combine like terms: 2x + 6x = 8x 5X = 3 + 8x Divide each side by '5'. X = 0.6 + 1.6x Simplifying X = 0.6 + 1.6x
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