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Simplifying 6x2 + 3(x + -1) + -5 + x(x + 2) = 7x2 + -2 Reorder the terms: 6x2 + 3(-1 + x) + -5 + x(x + 2) = 7x2 + -2 6x2 + (-1 * 3 + x * 3) + -5 + x(x + 2) = 7x2 + -2 6x2 + (-3 + 3x) + -5 + x(x + 2) = 7x2 + -2 Reorder the terms: 6x2 + -3 + 3x + -5 + x(2 + x) = 7x2 + -2 6x2 + -3 + 3x + -5 + (2 * x + x * x) = 7x2 + -2 6x2 + -3 + 3x + -5 + (2x + x2) = 7x2 + -2 Reorder the terms: -3 + -5 + 3x + 2x + 6x2 + x2 = 7x2 + -2 Combine like terms: -3 + -5 = -8 -8 + 3x + 2x + 6x2 + x2 = 7x2 + -2 Combine like terms: 3x + 2x = 5x -8 + 5x + 6x2 + x2 = 7x2 + -2 Combine like terms: 6x2 + x2 = 7x2 -8 + 5x + 7x2 = 7x2 + -2 Reorder the terms: -8 + 5x + 7x2 = -2 + 7x2 Add '-7x2' to each side of the equation. -8 + 5x + 7x2 + -7x2 = -2 + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -8 + 5x + 0 = -2 + 7x2 + -7x2 -8 + 5x = -2 + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -8 + 5x = -2 + 0 -8 + 5x = -2 Solving -8 + 5x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -2 + 8 5x = -2 + 8 Combine like terms: -2 + 8 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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