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Simplifying X + -5 + -1(x + -13) + 2x = 5x + -3(x + -4) Reorder the terms: X + -5 + -1(-13 + x) + 2x = 5x + -3(x + -4) X + -5 + (-13 * -1 + x * -1) + 2x = 5x + -3(x + -4) X + -5 + (13 + -1x) + 2x = 5x + -3(x + -4) Reorder the terms: -5 + 13 + X + -1x + 2x = 5x + -3(x + -4) Combine like terms: -5 + 13 = 8 8 + X + -1x + 2x = 5x + -3(x + -4) Combine like terms: -1x + 2x = 1x 8 + X + 1x = 5x + -3(x + -4) Reorder the terms: 8 + X + 1x = 5x + -3(-4 + x) 8 + X + 1x = 5x + (-4 * -3 + x * -3) 8 + X + 1x = 5x + (12 + -3x) Reorder the terms: 8 + X + 1x = 12 + 5x + -3x Combine like terms: 5x + -3x = 2x 8 + X + 1x = 12 + 2x Solving 8 + X + 1x = 12 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + X + -8 + 1x = 12 + -8 + 2x Reorder the terms: 8 + -8 + X + 1x = 12 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + X + 1x = 12 + -8 + 2x X + 1x = 12 + -8 + 2x Combine like terms: 12 + -8 = 4 X + 1x = 4 + 2x Add '-1x' to each side of the equation. X + 1x + -1x = 4 + 2x + -1x Combine like terms: 1x + -1x = 0 X + 0 = 4 + 2x + -1x X = 4 + 2x + -1x Combine like terms: 2x + -1x = 1x X = 4 + 1x Simplifying X = 4 + 1x
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