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Simplifying X + -3 + 8 + 4x = 2(x + -5) + -4(-1x + -1) Reorder the terms: -3 + 8 + X + 4x = 2(x + -5) + -4(-1x + -1) Combine like terms: -3 + 8 = 5 5 + X + 4x = 2(x + -5) + -4(-1x + -1) Reorder the terms: 5 + X + 4x = 2(-5 + x) + -4(-1x + -1) 5 + X + 4x = (-5 * 2 + x * 2) + -4(-1x + -1) 5 + X + 4x = (-10 + 2x) + -4(-1x + -1) Reorder the terms: 5 + X + 4x = -10 + 2x + -4(-1 + -1x) 5 + X + 4x = -10 + 2x + (-1 * -4 + -1x * -4) 5 + X + 4x = -10 + 2x + (4 + 4x) Reorder the terms: 5 + X + 4x = -10 + 4 + 2x + 4x Combine like terms: -10 + 4 = -6 5 + X + 4x = -6 + 2x + 4x Combine like terms: 2x + 4x = 6x 5 + X + 4x = -6 + 6x Solving 5 + X + 4x = -6 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + X + -5 + 4x = -6 + -5 + 6x Reorder the terms: 5 + -5 + X + 4x = -6 + -5 + 6x Combine like terms: 5 + -5 = 0 0 + X + 4x = -6 + -5 + 6x X + 4x = -6 + -5 + 6x Combine like terms: -6 + -5 = -11 X + 4x = -11 + 6x Add '-4x' to each side of the equation. X + 4x + -4x = -11 + 6x + -4x Combine like terms: 4x + -4x = 0 X + 0 = -11 + 6x + -4x X = -11 + 6x + -4x Combine like terms: 6x + -4x = 2x X = -11 + 2x Simplifying X = -11 + 2x
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