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Simplifying 5(x + 3) + 9 = -2(x + -2) + -1 Reorder the terms: 5(3 + x) + 9 = -2(x + -2) + -1 (3 * 5 + x * 5) + 9 = -2(x + -2) + -1 (15 + 5x) + 9 = -2(x + -2) + -1 Reorder the terms: 15 + 9 + 5x = -2(x + -2) + -1 Combine like terms: 15 + 9 = 24 24 + 5x = -2(x + -2) + -1 Reorder the terms: 24 + 5x = -2(-2 + x) + -1 24 + 5x = (-2 * -2 + x * -2) + -1 24 + 5x = (4 + -2x) + -1 Reorder the terms: 24 + 5x = 4 + -1 + -2x Combine like terms: 4 + -1 = 3 24 + 5x = 3 + -2x Solving 24 + 5x = 3 + -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. 24 + 5x + 2x = 3 + -2x + 2x Combine like terms: 5x + 2x = 7x 24 + 7x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 7x = 3 + 0 24 + 7x = 3 Add '-24' to each side of the equation. 24 + -24 + 7x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 3 + -24 7x = 3 + -24 Combine like terms: 3 + -24 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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