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Simplifying 3(2X + -1) + -1 = 2(X + 7) + 1 Reorder the terms: 3(-1 + 2X) + -1 = 2(X + 7) + 1 (-1 * 3 + 2X * 3) + -1 = 2(X + 7) + 1 (-3 + 6X) + -1 = 2(X + 7) + 1 Reorder the terms: -3 + -1 + 6X = 2(X + 7) + 1 Combine like terms: -3 + -1 = -4 -4 + 6X = 2(X + 7) + 1 Reorder the terms: -4 + 6X = 2(7 + X) + 1 -4 + 6X = (7 * 2 + X * 2) + 1 -4 + 6X = (14 + 2X) + 1 Reorder the terms: -4 + 6X = 14 + 1 + 2X Combine like terms: 14 + 1 = 15 -4 + 6X = 15 + 2X Solving -4 + 6X = 15 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -4 + 6X + -2X = 15 + 2X + -2X Combine like terms: 6X + -2X = 4X -4 + 4X = 15 + 2X + -2X Combine like terms: 2X + -2X = 0 -4 + 4X = 15 + 0 -4 + 4X = 15 Add '4' to each side of the equation. -4 + 4 + 4X = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 4X = 15 + 4 4X = 15 + 4 Combine like terms: 15 + 4 = 19 4X = 19 Divide each side by '4'. X = 4.75 Simplifying X = 4.75
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