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Simplifying 7x + -3 + -5(x + -6) + -7x + 2 = 13x + 9 Reorder the terms: 7x + -3 + -5(-6 + x) + -7x + 2 = 13x + 9 7x + -3 + (-6 * -5 + x * -5) + -7x + 2 = 13x + 9 7x + -3 + (30 + -5x) + -7x + 2 = 13x + 9 Reorder the terms: -3 + 30 + 2 + 7x + -5x + -7x = 13x + 9 Combine like terms: -3 + 30 = 27 27 + 2 + 7x + -5x + -7x = 13x + 9 Combine like terms: 27 + 2 = 29 29 + 7x + -5x + -7x = 13x + 9 Combine like terms: 7x + -5x = 2x 29 + 2x + -7x = 13x + 9 Combine like terms: 2x + -7x = -5x 29 + -5x = 13x + 9 Reorder the terms: 29 + -5x = 9 + 13x Solving 29 + -5x = 9 + 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. 29 + -5x + -13x = 9 + 13x + -13x Combine like terms: -5x + -13x = -18x 29 + -18x = 9 + 13x + -13x Combine like terms: 13x + -13x = 0 29 + -18x = 9 + 0 29 + -18x = 9 Add '-29' to each side of the equation. 29 + -29 + -18x = 9 + -29 Combine like terms: 29 + -29 = 0 0 + -18x = 9 + -29 -18x = 9 + -29 Combine like terms: 9 + -29 = -20 -18x = -20 Divide each side by '-18'. x = 1.111111111 Simplifying x = 1.111111111
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