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Simplifying 6x + -50 = 3x + 20 + -1(2x + 500) Reorder the terms: -50 + 6x = 3x + 20 + -1(2x + 500) Reorder the terms: -50 + 6x = 3x + 20 + -1(500 + 2x) -50 + 6x = 3x + 20 + (500 * -1 + 2x * -1) -50 + 6x = 3x + 20 + (-500 + -2x) Reorder the terms: -50 + 6x = 20 + -500 + 3x + -2x Combine like terms: 20 + -500 = -480 -50 + 6x = -480 + 3x + -2x Combine like terms: 3x + -2x = 1x -50 + 6x = -480 + 1x Solving -50 + 6x = -480 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -50 + 6x + -1x = -480 + 1x + -1x Combine like terms: 6x + -1x = 5x -50 + 5x = -480 + 1x + -1x Combine like terms: 1x + -1x = 0 -50 + 5x = -480 + 0 -50 + 5x = -480 Add '50' to each side of the equation. -50 + 50 + 5x = -480 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = -480 + 50 5x = -480 + 50 Combine like terms: -480 + 50 = -430 5x = -430 Divide each side by '5'. x = -86 Simplifying x = -86
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