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Simplifying 3(x + -4) + -2 = 2(2X + 5) + x Reorder the terms: 3(-4 + x) + -2 = 2(2X + 5) + x (-4 * 3 + x * 3) + -2 = 2(2X + 5) + x (-12 + 3x) + -2 = 2(2X + 5) + x Reorder the terms: -12 + -2 + 3x = 2(2X + 5) + x Combine like terms: -12 + -2 = -14 -14 + 3x = 2(2X + 5) + x Reorder the terms: -14 + 3x = 2(5 + 2X) + x -14 + 3x = (5 * 2 + 2X * 2) + x -14 + 3x = (10 + 4X) + x Solving -14 + 3x = 10 + 4X + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 3x + -1x = 10 + 4X + x + -1x Combine like terms: 3x + -1x = 2x -14 + 2x = 10 + 4X + x + -1x Combine like terms: x + -1x = 0 -14 + 2x = 10 + 4X + 0 -14 + 2x = 10 + 4X Add '14' to each side of the equation. -14 + 14 + 2x = 10 + 14 + 4X Combine like terms: -14 + 14 = 0 0 + 2x = 10 + 14 + 4X 2x = 10 + 14 + 4X Combine like terms: 10 + 14 = 24 2x = 24 + 4X Divide each side by '2'. x = 12 + 2X Simplifying x = 12 + 2X
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