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Simplifying 2(x + -5) + -9 = 1.5(X + 3) + -7 Reorder the terms: 2(-5 + x) + -9 = 1.5(X + 3) + -7 (-5 * 2 + x * 2) + -9 = 1.5(X + 3) + -7 (-10 + 2x) + -9 = 1.5(X + 3) + -7 Reorder the terms: -10 + -9 + 2x = 1.5(X + 3) + -7 Combine like terms: -10 + -9 = -19 -19 + 2x = 1.5(X + 3) + -7 Reorder the terms: -19 + 2x = 1.5(3 + X) + -7 -19 + 2x = (3 * 1.5 + X * 1.5) + -7 -19 + 2x = (4.5 + 1.5X) + -7 Reorder the terms: -19 + 2x = 4.5 + -7 + 1.5X Combine like terms: 4.5 + -7 = -2.5 -19 + 2x = -2.5 + 1.5X Solving -19 + 2x = -2.5 + 1.5X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 2x = -2.5 + 19 + 1.5X Combine like terms: -19 + 19 = 0 0 + 2x = -2.5 + 19 + 1.5X 2x = -2.5 + 19 + 1.5X Combine like terms: -2.5 + 19 = 16.5 2x = 16.5 + 1.5X Divide each side by '2'. x = 8.25 + 0.75X Simplifying x = 8.25 + 0.75X
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