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Simplifying X + -3x + 1 + -1(-3 + 1) + -1(x + -4) = x + -1x + 1 + -1 + -1(x + -5) Combine like terms: -3 + 1 = -2 X + -3x + 1 + -1(-2) + -1(x + -4) = x + -1x + 1 + -1 + -1(x + -5) Multiply -1 * -2 X + -3x + 1 + 2 + -1(x + -4) = x + -1x + 1 + -1 + -1(x + -5) Reorder the terms: X + -3x + 1 + 2 + -1(-4 + x) = x + -1x + 1 + -1 + -1(x + -5) X + -3x + 1 + 2 + (-4 * -1 + x * -1) = x + -1x + 1 + -1 + -1(x + -5) X + -3x + 1 + 2 + (4 + -1x) = x + -1x + 1 + -1 + -1(x + -5) Reorder the terms: 1 + 2 + 4 + X + -3x + -1x = x + -1x + 1 + -1 + -1(x + -5) Combine like terms: 1 + 2 = 3 3 + 4 + X + -3x + -1x = x + -1x + 1 + -1 + -1(x + -5) Combine like terms: 3 + 4 = 7 7 + X + -3x + -1x = x + -1x + 1 + -1 + -1(x + -5) Combine like terms: -3x + -1x = -4x 7 + X + -4x = x + -1x + 1 + -1 + -1(x + -5) Reorder the terms: 7 + X + -4x = x + -1x + 1 + -1 + -1(-5 + x) 7 + X + -4x = x + -1x + 1 + -1 + (-5 * -1 + x * -1) 7 + X + -4x = x + -1x + 1 + -1 + (5 + -1x) Reorder the terms: 7 + X + -4x = 1 + -1 + 5 + x + -1x + -1x Combine like terms: 1 + -1 = 0 7 + X + -4x = 0 + 5 + x + -1x + -1x 7 + X + -4x = 5 + x + -1x + -1x Combine like terms: x + -1x = 0 7 + X + -4x = 5 + 0 + -1x 7 + X + -4x = 5 + -1x Solving 7 + X + -4x = 5 + -1x 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 + X + -7 + -4x = 5 + -7 + -1x Reorder the terms: 7 + -7 + X + -4x = 5 + -7 + -1x Combine like terms: 7 + -7 = 0 0 + X + -4x = 5 + -7 + -1x X + -4x = 5 + -7 + -1x Combine like terms: 5 + -7 = -2 X + -4x = -2 + -1x Add '4x' to each side of the equation. X + -4x + 4x = -2 + -1x + 4x Combine like terms: -4x + 4x = 0 X + 0 = -2 + -1x + 4x X = -2 + -1x + 4x Combine like terms: -1x + 4x = 3x X = -2 + 3x Simplifying X = -2 + 3x
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