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Simplifying 7x + 5x + -2 = 13x + 4 + -10 Reorder the terms: -2 + 7x + 5x = 13x + 4 + -10 Combine like terms: 7x + 5x = 12x -2 + 12x = 13x + 4 + -10 Reorder the terms: -2 + 12x = 4 + -10 + 13x Combine like terms: 4 + -10 = -6 -2 + 12x = -6 + 13x Solving -2 + 12x = -6 + 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. -2 + 12x + -13x = -6 + 13x + -13x Combine like terms: 12x + -13x = -1x -2 + -1x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -1x = -6 + 0 -2 + -1x = -6 Add '2' to each side of the equation. -2 + 2 + -1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -6 + 2 -1x = -6 + 2 Combine like terms: -6 + 2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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