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Simplifying X + 5(x + -4) = 3(x + -8) * 5 Reorder the terms: X + 5(-4 + x) = 3(x + -8) * 5 X + (-4 * 5 + x * 5) = 3(x + -8) * 5 X + (-20 + 5x) = 3(x + -8) * 5 Reorder the terms: -20 + X + 5x = 3(x + -8) * 5 Reorder the terms: -20 + X + 5x = 3(-8 + x) * 5 Reorder the terms for easier multiplication: -20 + X + 5x = 3 * 5(-8 + x) Multiply 3 * 5 -20 + X + 5x = 15(-8 + x) -20 + X + 5x = (-8 * 15 + x * 15) -20 + X + 5x = (-120 + 15x) Solving -20 + X + 5x = -120 + 15x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + X + 20 + 5x = -120 + 20 + 15x Reorder the terms: -20 + 20 + X + 5x = -120 + 20 + 15x Combine like terms: -20 + 20 = 0 0 + X + 5x = -120 + 20 + 15x X + 5x = -120 + 20 + 15x Combine like terms: -120 + 20 = -100 X + 5x = -100 + 15x Add '-5x' to each side of the equation. X + 5x + -5x = -100 + 15x + -5x Combine like terms: 5x + -5x = 0 X + 0 = -100 + 15x + -5x X = -100 + 15x + -5x Combine like terms: 15x + -5x = 10x X = -100 + 10x Simplifying X = -100 + 10x
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