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Simplifying 3x + 1 + -1(5x + -1(4x + -10)) = x + -6 Reorder the terms: 3x + 1 + -1(5x + -1(-10 + 4x)) = x + -6 3x + 1 + -1(5x + (-10 * -1 + 4x * -1)) = x + -6 3x + 1 + -1(5x + (10 + -4x)) = x + -6 Reorder the terms: 3x + 1 + -1(10 + 5x + -4x) = x + -6 Combine like terms: 5x + -4x = 1x 3x + 1 + -1(10 + 1x) = x + -6 3x + 1 + (10 * -1 + 1x * -1) = x + -6 3x + 1 + (-10 + -1x) = x + -6 Reorder the terms: 1 + -10 + 3x + -1x = x + -6 Combine like terms: 1 + -10 = -9 -9 + 3x + -1x = x + -6 Combine like terms: 3x + -1x = 2x -9 + 2x = x + -6 Reorder the terms: -9 + 2x = -6 + x Solving -9 + 2x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 2x + -1x = -6 + x + -1x Combine like terms: 2x + -1x = 1x -9 + 1x = -6 + x + -1x Combine like terms: x + -1x = 0 -9 + 1x = -6 + 0 -9 + 1x = -6 Add '9' to each side of the equation. -9 + 9 + 1x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -6 + 9 1x = -6 + 9 Combine like terms: -6 + 9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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