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Simplifying 2 + -5(9 + -3x) = 2(10x + -1) + -1 2 + (9 * -5 + -3x * -5) = 2(10x + -1) + -1 2 + (-45 + 15x) = 2(10x + -1) + -1 Combine like terms: 2 + -45 = -43 -43 + 15x = 2(10x + -1) + -1 Reorder the terms: -43 + 15x = 2(-1 + 10x) + -1 -43 + 15x = (-1 * 2 + 10x * 2) + -1 -43 + 15x = (-2 + 20x) + -1 Reorder the terms: -43 + 15x = -2 + -1 + 20x Combine like terms: -2 + -1 = -3 -43 + 15x = -3 + 20x Solving -43 + 15x = -3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -43 + 15x + -20x = -3 + 20x + -20x Combine like terms: 15x + -20x = -5x -43 + -5x = -3 + 20x + -20x Combine like terms: 20x + -20x = 0 -43 + -5x = -3 + 0 -43 + -5x = -3 Add '43' to each side of the equation. -43 + 43 + -5x = -3 + 43 Combine like terms: -43 + 43 = 0 0 + -5x = -3 + 43 -5x = -3 + 43 Combine like terms: -3 + 43 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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