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Simplifying 4(2x + -7) + 12 = 3(X + -2) + 9 Reorder the terms: 4(-7 + 2x) + 12 = 3(X + -2) + 9 (-7 * 4 + 2x * 4) + 12 = 3(X + -2) + 9 (-28 + 8x) + 12 = 3(X + -2) + 9 Reorder the terms: -28 + 12 + 8x = 3(X + -2) + 9 Combine like terms: -28 + 12 = -16 -16 + 8x = 3(X + -2) + 9 Reorder the terms: -16 + 8x = 3(-2 + X) + 9 -16 + 8x = (-2 * 3 + X * 3) + 9 -16 + 8x = (-6 + 3X) + 9 Reorder the terms: -16 + 8x = -6 + 9 + 3X Combine like terms: -6 + 9 = 3 -16 + 8x = 3 + 3X Solving -16 + 8x = 3 + 3X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8x = 3 + 16 + 3X Combine like terms: -16 + 16 = 0 0 + 8x = 3 + 16 + 3X 8x = 3 + 16 + 3X Combine like terms: 3 + 16 = 19 8x = 19 + 3X Divide each side by '8'. x = 2.375 + 0.375X Simplifying x = 2.375 + 0.375X
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