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Simplifying 13x + -51 = 10x + -33 Reorder the terms: -51 + 13x = 10x + -33 Reorder the terms: -51 + 13x = -33 + 10x Solving -51 + 13x = -33 + 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. -51 + 13x + -10x = -33 + 10x + -10x Combine like terms: 13x + -10x = 3x -51 + 3x = -33 + 10x + -10x Combine like terms: 10x + -10x = 0 -51 + 3x = -33 + 0 -51 + 3x = -33 Add '51' to each side of the equation. -51 + 51 + 3x = -33 + 51 Combine like terms: -51 + 51 = 0 0 + 3x = -33 + 51 3x = -33 + 51 Combine like terms: -33 + 51 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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