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Simplifying 4(3x + 5) + 9 = 5 + -1(x + 2) Reorder the terms: 4(5 + 3x) + 9 = 5 + -1(x + 2) (5 * 4 + 3x * 4) + 9 = 5 + -1(x + 2) (20 + 12x) + 9 = 5 + -1(x + 2) Reorder the terms: 20 + 9 + 12x = 5 + -1(x + 2) Combine like terms: 20 + 9 = 29 29 + 12x = 5 + -1(x + 2) Reorder the terms: 29 + 12x = 5 + -1(2 + x) 29 + 12x = 5 + (2 * -1 + x * -1) 29 + 12x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 29 + 12x = 3 + -1x Solving 29 + 12x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 29 + 12x + x = 3 + -1x + x Combine like terms: 12x + x = 13x 29 + 13x = 3 + -1x + x Combine like terms: -1x + x = 0 29 + 13x = 3 + 0 29 + 13x = 3 Add '-29' to each side of the equation. 29 + -29 + 13x = 3 + -29 Combine like terms: 29 + -29 = 0 0 + 13x = 3 + -29 13x = 3 + -29 Combine like terms: 3 + -29 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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