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Simplifying -2x2 + x + 7 = -1x2 + 5x + (-2 + -1x2) Reorder the terms: 7 + x + -2x2 = -1x2 + 5x + (-2 + -1x2) Remove parenthesis around (-2 + -1x2) 7 + x + -2x2 = -1x2 + 5x + -2 + -1x2 Reorder the terms: 7 + x + -2x2 = -2 + 5x + -1x2 + -1x2 Combine like terms: -1x2 + -1x2 = -2x2 7 + x + -2x2 = -2 + 5x + -2x2 Add '2x2' to each side of the equation. 7 + x + -2x2 + 2x2 = -2 + 5x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 7 + x + 0 = -2 + 5x + -2x2 + 2x2 7 + x = -2 + 5x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 7 + x = -2 + 5x + 0 7 + x = -2 + 5x Solving 7 + x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + x + -5x = -2 + 5x + -5x Combine like terms: x + -5x = -4x 7 + -4x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = -2 + 0 7 + -4x = -2 Add '-7' to each side of the equation. 7 + -7 + -4x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -2 + -7 -4x = -2 + -7 Combine like terms: -2 + -7 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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