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Simplifying 5x + 100 = 6x + -50 Reorder the terms: 100 + 5x = 6x + -50 Reorder the terms: 100 + 5x = -50 + 6x Solving 100 + 5x = -50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 100 + 5x + -6x = -50 + 6x + -6x Combine like terms: 5x + -6x = -1x 100 + -1x = -50 + 6x + -6x Combine like terms: 6x + -6x = 0 100 + -1x = -50 + 0 100 + -1x = -50 Add '-100' to each side of the equation. 100 + -100 + -1x = -50 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = -50 + -100 -1x = -50 + -100 Combine like terms: -50 + -100 = -150 -1x = -150 Divide each side by '-1'. x = 150 Simplifying x = 150
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