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Simplifying 5(2x + -3) + 4x + -6 + 12 = -2(X + -7) + 9 Reorder the terms: 5(-3 + 2x) + 4x + -6 + 12 = -2(X + -7) + 9 (-3 * 5 + 2x * 5) + 4x + -6 + 12 = -2(X + -7) + 9 (-15 + 10x) + 4x + -6 + 12 = -2(X + -7) + 9 Reorder the terms: -15 + -6 + 12 + 10x + 4x = -2(X + -7) + 9 Combine like terms: -15 + -6 = -21 -21 + 12 + 10x + 4x = -2(X + -7) + 9 Combine like terms: -21 + 12 = -9 -9 + 10x + 4x = -2(X + -7) + 9 Combine like terms: 10x + 4x = 14x -9 + 14x = -2(X + -7) + 9 Reorder the terms: -9 + 14x = -2(-7 + X) + 9 -9 + 14x = (-7 * -2 + X * -2) + 9 -9 + 14x = (14 + -2X) + 9 Reorder the terms: -9 + 14x = 14 + 9 + -2X Combine like terms: 14 + 9 = 23 -9 + 14x = 23 + -2X Solving -9 + 14x = 23 + -2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 14x = 23 + 9 + -2X Combine like terms: -9 + 9 = 0 0 + 14x = 23 + 9 + -2X 14x = 23 + 9 + -2X Combine like terms: 23 + 9 = 32 14x = 32 + -2X Divide each side by '14'. x = 2.285714286 + -0.1428571429X Simplifying x = 2.285714286 + -0.1428571429X
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