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Simplifying 5x + -3 + 6x = 12x + -13 Reorder the terms: -3 + 5x + 6x = 12x + -13 Combine like terms: 5x + 6x = 11x -3 + 11x = 12x + -13 Reorder the terms: -3 + 11x = -13 + 12x Solving -3 + 11x = -13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 11x + -12x = -13 + 12x + -12x Combine like terms: 11x + -12x = -1x -3 + -1x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -1x = -13 + 0 -3 + -1x = -13 Add '3' to each side of the equation. -3 + 3 + -1x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -13 + 3 -1x = -13 + 3 Combine like terms: -13 + 3 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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