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Simplifying 4(3X + -1) = 7(2X + 1) Reorder the terms: 4(-1 + 3X) = 7(2X + 1) (-1 * 4 + 3X * 4) = 7(2X + 1) (-4 + 12X) = 7(2X + 1) Reorder the terms: -4 + 12X = 7(1 + 2X) -4 + 12X = (1 * 7 + 2X * 7) -4 + 12X = (7 + 14X) Solving -4 + 12X = 7 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. -4 + 12X + -14X = 7 + 14X + -14X Combine like terms: 12X + -14X = -2X -4 + -2X = 7 + 14X + -14X Combine like terms: 14X + -14X = 0 -4 + -2X = 7 + 0 -4 + -2X = 7 Add '4' to each side of the equation. -4 + 4 + -2X = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -2X = 7 + 4 -2X = 7 + 4 Combine like terms: 7 + 4 = 11 -2X = 11 Divide each side by '-2'. X = -5.5 Simplifying X = -5.5
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