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Simplifying 5(2x2 + -1) + -10x2 + -6 = -1(x + 2) Reorder the terms: 5(-1 + 2x2) + -10x2 + -6 = -1(x + 2) (-1 * 5 + 2x2 * 5) + -10x2 + -6 = -1(x + 2) (-5 + 10x2) + -10x2 + -6 = -1(x + 2) Reorder the terms: -5 + -6 + 10x2 + -10x2 = -1(x + 2) Combine like terms: -5 + -6 = -11 -11 + 10x2 + -10x2 = -1(x + 2) Combine like terms: 10x2 + -10x2 = 0 -11 + 0 = -1(x + 2) -11 = -1(x + 2) Reorder the terms: -11 = -1(2 + x) -11 = (2 * -1 + x * -1) -11 = (-2 + -1x) Solving -11 = -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. -11 + x = -2 + -1x + x Combine like terms: -1x + x = 0 -11 + x = -2 + 0 -11 + x = -2 Add '11' to each side of the equation. -11 + 11 + x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + x = -2 + 11 x = -2 + 11 Combine like terms: -2 + 11 = 9 x = 9 Simplifying x = 9
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