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Simplifying 3(3x + -1) + -4(5 + -2x) = -10x Reorder the terms: 3(-1 + 3x) + -4(5 + -2x) = -10x (-1 * 3 + 3x * 3) + -4(5 + -2x) = -10x (-3 + 9x) + -4(5 + -2x) = -10x -3 + 9x + (5 * -4 + -2x * -4) = -10x -3 + 9x + (-20 + 8x) = -10x Reorder the terms: -3 + -20 + 9x + 8x = -10x Combine like terms: -3 + -20 = -23 -23 + 9x + 8x = -10x Combine like terms: 9x + 8x = 17x -23 + 17x = -10x Solving -23 + 17x = -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. -23 + 17x + 10x = -10x + 10x Combine like terms: 17x + 10x = 27x -23 + 27x = -10x + 10x Combine like terms: -10x + 10x = 0 -23 + 27x = 0 Add '23' to each side of the equation. -23 + 23 + 27x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 27x = 0 + 23 27x = 0 + 23 Combine like terms: 0 + 23 = 23 27x = 23 Divide each side by '27'. x = 0.8518518519 Simplifying x = 0.8518518519
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