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Simplifying -13X + 4 + -3(x + -1) = 3x + -1(12x + -2) + 3 Reorder the terms: -13X + 4 + -3(-1 + x) = 3x + -1(12x + -2) + 3 -13X + 4 + (-1 * -3 + x * -3) = 3x + -1(12x + -2) + 3 -13X + 4 + (3 + -3x) = 3x + -1(12x + -2) + 3 Reorder the terms: 4 + 3 + -13X + -3x = 3x + -1(12x + -2) + 3 Combine like terms: 4 + 3 = 7 7 + -13X + -3x = 3x + -1(12x + -2) + 3 Reorder the terms: 7 + -13X + -3x = 3x + -1(-2 + 12x) + 3 7 + -13X + -3x = 3x + (-2 * -1 + 12x * -1) + 3 7 + -13X + -3x = 3x + (2 + -12x) + 3 Reorder the terms: 7 + -13X + -3x = 2 + 3 + 3x + -12x Combine like terms: 2 + 3 = 5 7 + -13X + -3x = 5 + 3x + -12x Combine like terms: 3x + -12x = -9x 7 + -13X + -3x = 5 + -9x Solving 7 + -13X + -3x = 5 + -9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -13X + -7 + -3x = 5 + -7 + -9x Reorder the terms: 7 + -7 + -13X + -3x = 5 + -7 + -9x Combine like terms: 7 + -7 = 0 0 + -13X + -3x = 5 + -7 + -9x -13X + -3x = 5 + -7 + -9x Combine like terms: 5 + -7 = -2 -13X + -3x = -2 + -9x Add '3x' to each side of the equation. -13X + -3x + 3x = -2 + -9x + 3x Combine like terms: -3x + 3x = 0 -13X + 0 = -2 + -9x + 3x -13X = -2 + -9x + 3x Combine like terms: -9x + 3x = -6x -13X = -2 + -6x Divide each side by '-13'. X = 0.1538461538 + 0.4615384615x Simplifying X = 0.1538461538 + 0.4615384615x
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