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Simplifying 3(x + 3) + -2x = 1 + -5(2x + 5) Reorder the terms: 3(3 + x) + -2x = 1 + -5(2x + 5) (3 * 3 + x * 3) + -2x = 1 + -5(2x + 5) (9 + 3x) + -2x = 1 + -5(2x + 5) Combine like terms: 3x + -2x = 1x 9 + 1x = 1 + -5(2x + 5) Reorder the terms: 9 + 1x = 1 + -5(5 + 2x) 9 + 1x = 1 + (5 * -5 + 2x * -5) 9 + 1x = 1 + (-25 + -10x) Combine like terms: 1 + -25 = -24 9 + 1x = -24 + -10x Solving 9 + 1x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 1x + 10x = -24 + -10x + 10x Combine like terms: 1x + 10x = 11x 9 + 11x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 11x = -24 + 0 9 + 11x = -24 Add '-9' to each side of the equation. 9 + -9 + 11x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = -24 + -9 11x = -24 + -9 Combine like terms: -24 + -9 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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