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Simplifying 2(x + 50) + -60 = 4(3x + 20) Reorder the terms: 2(50 + x) + -60 = 4(3x + 20) (50 * 2 + x * 2) + -60 = 4(3x + 20) (100 + 2x) + -60 = 4(3x + 20) Reorder the terms: 100 + -60 + 2x = 4(3x + 20) Combine like terms: 100 + -60 = 40 40 + 2x = 4(3x + 20) Reorder the terms: 40 + 2x = 4(20 + 3x) 40 + 2x = (20 * 4 + 3x * 4) 40 + 2x = (80 + 12x) Solving 40 + 2x = 80 + 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. 40 + 2x + -12x = 80 + 12x + -12x Combine like terms: 2x + -12x = -10x 40 + -10x = 80 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -10x = 80 + 0 40 + -10x = 80 Add '-40' to each side of the equation. 40 + -40 + -10x = 80 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = 80 + -40 -10x = 80 + -40 Combine like terms: 80 + -40 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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