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Simplifying X + 3(x + -4) = 5(x + -5) + 20 Reorder the terms: X + 3(-4 + x) = 5(x + -5) + 20 X + (-4 * 3 + x * 3) = 5(x + -5) + 20 X + (-12 + 3x) = 5(x + -5) + 20 Reorder the terms: -12 + X + 3x = 5(x + -5) + 20 Reorder the terms: -12 + X + 3x = 5(-5 + x) + 20 -12 + X + 3x = (-5 * 5 + x * 5) + 20 -12 + X + 3x = (-25 + 5x) + 20 Reorder the terms: -12 + X + 3x = -25 + 20 + 5x Combine like terms: -25 + 20 = -5 -12 + X + 3x = -5 + 5x Solving -12 + X + 3x = -5 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + X + 12 + 3x = -5 + 12 + 5x Reorder the terms: -12 + 12 + X + 3x = -5 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + X + 3x = -5 + 12 + 5x X + 3x = -5 + 12 + 5x Combine like terms: -5 + 12 = 7 X + 3x = 7 + 5x Add '-3x' to each side of the equation. X + 3x + -3x = 7 + 5x + -3x Combine like terms: 3x + -3x = 0 X + 0 = 7 + 5x + -3x X = 7 + 5x + -3x Combine like terms: 5x + -3x = 2x X = 7 + 2x Simplifying X = 7 + 2x
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