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Simplifying 1 + -1(-9x + -2) = -3(-5x + -3) Reorder the terms: 1 + -1(-2 + -9x) = -3(-5x + -3) 1 + (-2 * -1 + -9x * -1) = -3(-5x + -3) 1 + (2 + 9x) = -3(-5x + -3) Combine like terms: 1 + 2 = 3 3 + 9x = -3(-5x + -3) Reorder the terms: 3 + 9x = -3(-3 + -5x) 3 + 9x = (-3 * -3 + -5x * -3) 3 + 9x = (9 + 15x) Solving 3 + 9x = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 3 + 9x + -15x = 9 + 15x + -15x Combine like terms: 9x + -15x = -6x 3 + -6x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 3 + -6x = 9 + 0 3 + -6x = 9 Add '-3' to each side of the equation. 3 + -3 + -6x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 9 + -3 -6x = 9 + -3 Combine like terms: 9 + -3 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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