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Simplifying X + -1(2x + -5) + 13 = 8x + 7 + -12x + -2 Reorder the terms: X + -1(-5 + 2x) + 13 = 8x + 7 + -12x + -2 X + (-5 * -1 + 2x * -1) + 13 = 8x + 7 + -12x + -2 X + (5 + -2x) + 13 = 8x + 7 + -12x + -2 Reorder the terms: 5 + 13 + X + -2x = 8x + 7 + -12x + -2 Combine like terms: 5 + 13 = 18 18 + X + -2x = 8x + 7 + -12x + -2 Reorder the terms: 18 + X + -2x = 7 + -2 + 8x + -12x Combine like terms: 7 + -2 = 5 18 + X + -2x = 5 + 8x + -12x Combine like terms: 8x + -12x = -4x 18 + X + -2x = 5 + -4x Solving 18 + X + -2x = 5 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + X + -18 + -2x = 5 + -18 + -4x Reorder the terms: 18 + -18 + X + -2x = 5 + -18 + -4x Combine like terms: 18 + -18 = 0 0 + X + -2x = 5 + -18 + -4x X + -2x = 5 + -18 + -4x Combine like terms: 5 + -18 = -13 X + -2x = -13 + -4x Add '2x' to each side of the equation. X + -2x + 2x = -13 + -4x + 2x Combine like terms: -2x + 2x = 0 X + 0 = -13 + -4x + 2x X = -13 + -4x + 2x Combine like terms: -4x + 2x = -2x X = -13 + -2x Simplifying X = -13 + -2x
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