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Simplifying 5x + -152 = -6x + 101 Reorder the terms: -152 + 5x = -6x + 101 Reorder the terms: -152 + 5x = 101 + -6x Solving -152 + 5x = 101 + -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. -152 + 5x + 6x = 101 + -6x + 6x Combine like terms: 5x + 6x = 11x -152 + 11x = 101 + -6x + 6x Combine like terms: -6x + 6x = 0 -152 + 11x = 101 + 0 -152 + 11x = 101 Add '152' to each side of the equation. -152 + 152 + 11x = 101 + 152 Combine like terms: -152 + 152 = 0 0 + 11x = 101 + 152 11x = 101 + 152 Combine like terms: 101 + 152 = 253 11x = 253 Divide each side by '11'. x = 23 Simplifying x = 23
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