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Simplifying 23 + 7(x + -3) = 29x + 11 Reorder the terms: 23 + 7(-3 + x) = 29x + 11 23 + (-3 * 7 + x * 7) = 29x + 11 23 + (-21 + 7x) = 29x + 11 Combine like terms: 23 + -21 = 2 2 + 7x = 29x + 11 Reorder the terms: 2 + 7x = 11 + 29x Solving 2 + 7x = 11 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 2 + 7x + -29x = 11 + 29x + -29x Combine like terms: 7x + -29x = -22x 2 + -22x = 11 + 29x + -29x Combine like terms: 29x + -29x = 0 2 + -22x = 11 + 0 2 + -22x = 11 Add '-2' to each side of the equation. 2 + -2 + -22x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -22x = 11 + -2 -22x = 11 + -2 Combine like terms: 11 + -2 = 9 -22x = 9 Divide each side by '-22'. x = -0.4090909091 Simplifying x = -0.4090909091
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