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Simplifying 2(x2 + x) = x + -5 + 2x2 + -7 Reorder the terms: 2(x + x2) = x + -5 + 2x2 + -7 (x * 2 + x2 * 2) = x + -5 + 2x2 + -7 (2x + 2x2) = x + -5 + 2x2 + -7 Reorder the terms: 2x + 2x2 = -5 + -7 + x + 2x2 Combine like terms: -5 + -7 = -12 2x + 2x2 = -12 + x + 2x2 Add '-2x2' to each side of the equation. 2x + 2x2 + -2x2 = -12 + x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2x + 0 = -12 + x + 2x2 + -2x2 2x = -12 + x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2x = -12 + x + 0 2x = -12 + x Solving 2x = -12 + 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. 2x + -1x = -12 + x + -1x Combine like terms: 2x + -1x = 1x 1x = -12 + x + -1x Combine like terms: x + -1x = 0 1x = -12 + 0 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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