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Simplifying 10x + -13 = 6x + 35 Reorder the terms: -13 + 10x = 6x + 35 Reorder the terms: -13 + 10x = 35 + 6x Solving -13 + 10x = 35 + 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. -13 + 10x + -6x = 35 + 6x + -6x Combine like terms: 10x + -6x = 4x -13 + 4x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 4x = 35 + 0 -13 + 4x = 35 Add '13' to each side of the equation. -13 + 13 + 4x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 35 + 13 4x = 35 + 13 Combine like terms: 35 + 13 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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