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Simplifying 2x2 + 8x + -7x + -28 = 2x2 + 2x Reorder the terms: -28 + 8x + -7x + 2x2 = 2x2 + 2x Combine like terms: 8x + -7x = 1x -28 + 1x + 2x2 = 2x2 + 2x Reorder the terms: -28 + 1x + 2x2 = 2x + 2x2 Add '-2x2' to each side of the equation. -28 + 1x + 2x2 + -2x2 = 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -28 + 1x + 0 = 2x + 2x2 + -2x2 -28 + 1x = 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -28 + 1x = 2x + 0 -28 + 1x = 2x Solving -28 + 1x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -28 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -1x = 0 Add '28' to each side of the equation. -28 + 28 + -1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = 0 + 28 -1x = 0 + 28 Combine like terms: 0 + 28 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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