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Simplifying 7x + 7 + 5x + 12 = 13x + 10 Reorder the terms: 7 + 12 + 7x + 5x = 13x + 10 Combine like terms: 7 + 12 = 19 19 + 7x + 5x = 13x + 10 Combine like terms: 7x + 5x = 12x 19 + 12x = 13x + 10 Reorder the terms: 19 + 12x = 10 + 13x Solving 19 + 12x = 10 + 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. 19 + 12x + -13x = 10 + 13x + -13x Combine like terms: 12x + -13x = -1x 19 + -1x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 19 + -1x = 10 + 0 19 + -1x = 10 Add '-19' to each side of the equation. 19 + -19 + -1x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 10 + -19 -1x = 10 + -19 Combine like terms: 10 + -19 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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