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Simplifying 2x + 100 = 3(4x + -20) Reorder the terms: 100 + 2x = 3(4x + -20) Reorder the terms: 100 + 2x = 3(-20 + 4x) 100 + 2x = (-20 * 3 + 4x * 3) 100 + 2x = (-60 + 12x) Solving 100 + 2x = -60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 100 + 2x + -12x = -60 + 12x + -12x Combine like terms: 2x + -12x = -10x 100 + -10x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 100 + -10x = -60 + 0 100 + -10x = -60 Add '-100' to each side of the equation. 100 + -100 + -10x = -60 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = -60 + -100 -10x = -60 + -100 Combine like terms: -60 + -100 = -160 -10x = -160 Divide each side by '-10'. x = 16 Simplifying x = 16
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