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Simplifying (2x + 13) + (7x + -6) = 2x + 70 Reorder the terms: (13 + 2x) + (7x + -6) = 2x + 70 Remove parenthesis around (13 + 2x) 13 + 2x + (7x + -6) = 2x + 70 Reorder the terms: 13 + 2x + (-6 + 7x) = 2x + 70 Remove parenthesis around (-6 + 7x) 13 + 2x + -6 + 7x = 2x + 70 Reorder the terms: 13 + -6 + 2x + 7x = 2x + 70 Combine like terms: 13 + -6 = 7 7 + 2x + 7x = 2x + 70 Combine like terms: 2x + 7x = 9x 7 + 9x = 2x + 70 Reorder the terms: 7 + 9x = 70 + 2x Solving 7 + 9x = 70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 9x + -2x = 70 + 2x + -2x Combine like terms: 9x + -2x = 7x 7 + 7x = 70 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 7x = 70 + 0 7 + 7x = 70 Add '-7' to each side of the equation. 7 + -7 + 7x = 70 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 70 + -7 7x = 70 + -7 Combine like terms: 70 + -7 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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