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Simplifying X + -5(x + -2) + 17 = 6(x + -5) + -1(x + -3) Reorder the terms: X + -5(-2 + x) + 17 = 6(x + -5) + -1(x + -3) X + (-2 * -5 + x * -5) + 17 = 6(x + -5) + -1(x + -3) X + (10 + -5x) + 17 = 6(x + -5) + -1(x + -3) Reorder the terms: 10 + 17 + X + -5x = 6(x + -5) + -1(x + -3) Combine like terms: 10 + 17 = 27 27 + X + -5x = 6(x + -5) + -1(x + -3) Reorder the terms: 27 + X + -5x = 6(-5 + x) + -1(x + -3) 27 + X + -5x = (-5 * 6 + x * 6) + -1(x + -3) 27 + X + -5x = (-30 + 6x) + -1(x + -3) Reorder the terms: 27 + X + -5x = -30 + 6x + -1(-3 + x) 27 + X + -5x = -30 + 6x + (-3 * -1 + x * -1) 27 + X + -5x = -30 + 6x + (3 + -1x) Reorder the terms: 27 + X + -5x = -30 + 3 + 6x + -1x Combine like terms: -30 + 3 = -27 27 + X + -5x = -27 + 6x + -1x Combine like terms: 6x + -1x = 5x 27 + X + -5x = -27 + 5x Solving 27 + X + -5x = -27 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + X + -27 + -5x = -27 + -27 + 5x Reorder the terms: 27 + -27 + X + -5x = -27 + -27 + 5x Combine like terms: 27 + -27 = 0 0 + X + -5x = -27 + -27 + 5x X + -5x = -27 + -27 + 5x Combine like terms: -27 + -27 = -54 X + -5x = -54 + 5x Add '5x' to each side of the equation. X + -5x + 5x = -54 + 5x + 5x Combine like terms: -5x + 5x = 0 X + 0 = -54 + 5x + 5x X = -54 + 5x + 5x Combine like terms: 5x + 5x = 10x X = -54 + 10x Simplifying X = -54 + 10x
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