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Simplifying 5(2x + x + -1) + -1(10x + x + -6) = -1(x + 2) Reorder the terms: 5(-1 + 2x + x) + -1(10x + x + -6) = -1(x + 2) Combine like terms: 2x + x = 3x 5(-1 + 3x) + -1(10x + x + -6) = -1(x + 2) (-1 * 5 + 3x * 5) + -1(10x + x + -6) = -1(x + 2) (-5 + 15x) + -1(10x + x + -6) = -1(x + 2) Reorder the terms: -5 + 15x + -1(-6 + 10x + x) = -1(x + 2) Combine like terms: 10x + x = 11x -5 + 15x + -1(-6 + 11x) = -1(x + 2) -5 + 15x + (-6 * -1 + 11x * -1) = -1(x + 2) -5 + 15x + (6 + -11x) = -1(x + 2) Reorder the terms: -5 + 6 + 15x + -11x = -1(x + 2) Combine like terms: -5 + 6 = 1 1 + 15x + -11x = -1(x + 2) Combine like terms: 15x + -11x = 4x 1 + 4x = -1(x + 2) Reorder the terms: 1 + 4x = -1(2 + x) 1 + 4x = (2 * -1 + x * -1) 1 + 4x = (-2 + -1x) Solving 1 + 4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 4x + x = -2 + -1x + x Combine like terms: 4x + x = 5x 1 + 5x = -2 + -1x + x Combine like terms: -1x + x = 0 1 + 5x = -2 + 0 1 + 5x = -2 Add '-1' to each side of the equation. 1 + -1 + 5x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -2 + -1 5x = -2 + -1 Combine like terms: -2 + -1 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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