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Simplifying 7x + -13 = 10x + 6 Reorder the terms: -13 + 7x = 10x + 6 Reorder the terms: -13 + 7x = 6 + 10x Solving -13 + 7x = 6 + 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. -13 + 7x + -10x = 6 + 10x + -10x Combine like terms: 7x + -10x = -3x -13 + -3x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + -3x = 6 + 0 -13 + -3x = 6 Add '13' to each side of the equation. -13 + 13 + -3x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 6 + 13 -3x = 6 + 13 Combine like terms: 6 + 13 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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