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Simplifying 3 + -1(-3x + -4) + -1(5x + -2x + 8) = -4x + -1(-10x + 2) Reorder the terms: 3 + -1(-4 + -3x) + -1(5x + -2x + 8) = -4x + -1(-10x + 2) 3 + (-4 * -1 + -3x * -1) + -1(5x + -2x + 8) = -4x + -1(-10x + 2) 3 + (4 + 3x) + -1(5x + -2x + 8) = -4x + -1(-10x + 2) Reorder the terms: 3 + 4 + 3x + -1(8 + 5x + -2x) = -4x + -1(-10x + 2) Combine like terms: 5x + -2x = 3x 3 + 4 + 3x + -1(8 + 3x) = -4x + -1(-10x + 2) 3 + 4 + 3x + (8 * -1 + 3x * -1) = -4x + -1(-10x + 2) 3 + 4 + 3x + (-8 + -3x) = -4x + -1(-10x + 2) Reorder the terms: 3 + 4 + -8 + 3x + -3x = -4x + -1(-10x + 2) Combine like terms: 3 + 4 = 7 7 + -8 + 3x + -3x = -4x + -1(-10x + 2) Combine like terms: 7 + -8 = -1 -1 + 3x + -3x = -4x + -1(-10x + 2) Combine like terms: 3x + -3x = 0 -1 + 0 = -4x + -1(-10x + 2) -1 = -4x + -1(-10x + 2) Reorder the terms: -1 = -4x + -1(2 + -10x) -1 = -4x + (2 * -1 + -10x * -1) -1 = -4x + (-2 + 10x) Reorder the terms: -1 = -2 + -4x + 10x Combine like terms: -4x + 10x = 6x -1 = -2 + 6x Solving -1 = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + -6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -6x = -2 + 0 -1 + -6x = -2 Add '1' to each side of the equation. -1 + 1 + -6x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = -2 + 1 -6x = -2 + 1 Combine like terms: -2 + 1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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