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Simplifying X + -6(x + -5) + 1 = 2x + 4(x + -20) Reorder the terms: X + -6(-5 + x) + 1 = 2x + 4(x + -20) X + (-5 * -6 + x * -6) + 1 = 2x + 4(x + -20) X + (30 + -6x) + 1 = 2x + 4(x + -20) Reorder the terms: 30 + 1 + X + -6x = 2x + 4(x + -20) Combine like terms: 30 + 1 = 31 31 + X + -6x = 2x + 4(x + -20) Reorder the terms: 31 + X + -6x = 2x + 4(-20 + x) 31 + X + -6x = 2x + (-20 * 4 + x * 4) 31 + X + -6x = 2x + (-80 + 4x) Reorder the terms: 31 + X + -6x = -80 + 2x + 4x Combine like terms: 2x + 4x = 6x 31 + X + -6x = -80 + 6x Solving 31 + X + -6x = -80 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + X + -31 + -6x = -80 + -31 + 6x Reorder the terms: 31 + -31 + X + -6x = -80 + -31 + 6x Combine like terms: 31 + -31 = 0 0 + X + -6x = -80 + -31 + 6x X + -6x = -80 + -31 + 6x Combine like terms: -80 + -31 = -111 X + -6x = -111 + 6x Add '6x' to each side of the equation. X + -6x + 6x = -111 + 6x + 6x Combine like terms: -6x + 6x = 0 X + 0 = -111 + 6x + 6x X = -111 + 6x + 6x Combine like terms: 6x + 6x = 12x X = -111 + 12x Simplifying X = -111 + 12x
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