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Simplifying 10(x + -10) + -5(3 + -2x) + -50 = 4(3 + -5x) + -1(3 + -10x) Reorder the terms: 10(-10 + x) + -5(3 + -2x) + -50 = 4(3 + -5x) + -1(3 + -10x) (-10 * 10 + x * 10) + -5(3 + -2x) + -50 = 4(3 + -5x) + -1(3 + -10x) (-100 + 10x) + -5(3 + -2x) + -50 = 4(3 + -5x) + -1(3 + -10x) -100 + 10x + (3 * -5 + -2x * -5) + -50 = 4(3 + -5x) + -1(3 + -10x) -100 + 10x + (-15 + 10x) + -50 = 4(3 + -5x) + -1(3 + -10x) Reorder the terms: -100 + -15 + -50 + 10x + 10x = 4(3 + -5x) + -1(3 + -10x) Combine like terms: -100 + -15 = -115 -115 + -50 + 10x + 10x = 4(3 + -5x) + -1(3 + -10x) Combine like terms: -115 + -50 = -165 -165 + 10x + 10x = 4(3 + -5x) + -1(3 + -10x) Combine like terms: 10x + 10x = 20x -165 + 20x = 4(3 + -5x) + -1(3 + -10x) -165 + 20x = (3 * 4 + -5x * 4) + -1(3 + -10x) -165 + 20x = (12 + -20x) + -1(3 + -10x) -165 + 20x = 12 + -20x + (3 * -1 + -10x * -1) -165 + 20x = 12 + -20x + (-3 + 10x) Reorder the terms: -165 + 20x = 12 + -3 + -20x + 10x Combine like terms: 12 + -3 = 9 -165 + 20x = 9 + -20x + 10x Combine like terms: -20x + 10x = -10x -165 + 20x = 9 + -10x Solving -165 + 20x = 9 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -165 + 20x + 10x = 9 + -10x + 10x Combine like terms: 20x + 10x = 30x -165 + 30x = 9 + -10x + 10x Combine like terms: -10x + 10x = 0 -165 + 30x = 9 + 0 -165 + 30x = 9 Add '165' to each side of the equation. -165 + 165 + 30x = 9 + 165 Combine like terms: -165 + 165 = 0 0 + 30x = 9 + 165 30x = 9 + 165 Combine like terms: 9 + 165 = 174 30x = 174 Divide each side by '30'. x = 5.8 Simplifying x = 5.8
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