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Simplifying X + -6x + -30 = 2x + 4(x + -20) Reorder the terms: -30 + X + -6x = 2x + 4(x + -20) Reorder the terms: -30 + X + -6x = 2x + 4(-20 + x) -30 + X + -6x = 2x + (-20 * 4 + x * 4) -30 + X + -6x = 2x + (-80 + 4x) Reorder the terms: -30 + X + -6x = -80 + 2x + 4x Combine like terms: 2x + 4x = 6x -30 + X + -6x = -80 + 6x Solving -30 + X + -6x = -80 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30' to each side of the equation. -30 + X + 30 + -6x = -80 + 30 + 6x Reorder the terms: -30 + 30 + X + -6x = -80 + 30 + 6x Combine like terms: -30 + 30 = 0 0 + X + -6x = -80 + 30 + 6x X + -6x = -80 + 30 + 6x Combine like terms: -80 + 30 = -50 X + -6x = -50 + 6x Add '6x' to each side of the equation. X + -6x + 6x = -50 + 6x + 6x Combine like terms: -6x + 6x = 0 X + 0 = -50 + 6x + 6x X = -50 + 6x + 6x Combine like terms: 6x + 6x = 12x X = -50 + 12x Simplifying X = -50 + 12x
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