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Simplifying 10x + 4 = 13x + -2 Reorder the terms: 4 + 10x = 13x + -2 Reorder the terms: 4 + 10x = -2 + 13x Solving 4 + 10x = -2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 4 + 10x + -13x = -2 + 13x + -13x Combine like terms: 10x + -13x = -3x 4 + -3x = -2 + 13x + -13x Combine like terms: 13x + -13x = 0 4 + -3x = -2 + 0 4 + -3x = -2 Add '-4' to each side of the equation. 4 + -4 + -3x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -2 + -4 -3x = -2 + -4 Combine like terms: -2 + -4 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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