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Simplifying 5(2x2 + -1) + -1(10x2 + -6) = -1(x + 2) Reorder the terms: 5(-1 + 2x2) + -1(10x2 + -6) = -1(x + 2) (-1 * 5 + 2x2 * 5) + -1(10x2 + -6) = -1(x + 2) (-5 + 10x2) + -1(10x2 + -6) = -1(x + 2) Reorder the terms: -5 + 10x2 + -1(-6 + 10x2) = -1(x + 2) -5 + 10x2 + (-6 * -1 + 10x2 * -1) = -1(x + 2) -5 + 10x2 + (6 + -10x2) = -1(x + 2) Reorder the terms: -5 + 6 + 10x2 + -10x2 = -1(x + 2) Combine like terms: -5 + 6 = 1 1 + 10x2 + -10x2 = -1(x + 2) Combine like terms: 10x2 + -10x2 = 0 1 + 0 = -1(x + 2) 1 = -1(x + 2) Reorder the terms: 1 = -1(2 + x) 1 = (2 * -1 + x * -1) 1 = (-2 + -1x) Solving 1 = -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 + x = -2 + -1x + x Combine like terms: -1x + x = 0 1 + x = -2 + 0 1 + x = -2 Add '-1' to each side of the equation. 1 + -1 + x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + x = -2 + -1 x = -2 + -1 Combine like terms: -2 + -1 = -3 x = -3 Simplifying x = -3
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