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Simplifying -7(x + 2) * x + 7 = 8x + 7 Reorder the terms: -7(2 + x) * x + 7 = 8x + 7 Reorder the terms for easier multiplication: -7x(2 + x) + 7 = 8x + 7 (2 * -7x + x * -7x) + 7 = 8x + 7 (-14x + -7x2) + 7 = 8x + 7 Reorder the terms: 7 + -14x + -7x2 = 8x + 7 Reorder the terms: 7 + -14x + -7x2 = 7 + 8x Add '-7' to each side of the equation. 7 + -14x + -7 + -7x2 = 7 + -7 + 8x Reorder the terms: 7 + -7 + -14x + -7x2 = 7 + -7 + 8x Combine like terms: 7 + -7 = 0 0 + -14x + -7x2 = 7 + -7 + 8x -14x + -7x2 = 7 + -7 + 8x Combine like terms: 7 + -7 = 0 -14x + -7x2 = 0 + 8x -14x + -7x2 = 8x Solving -14x + -7x2 = 8x Solving for variable 'x'. Reorder the terms: -14x + -8x + -7x2 = 8x + -8x Combine like terms: -14x + -8x = -22x -22x + -7x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -22x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(22 + 7x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(22 + 7x)' equal to zero and attempt to solve: Simplifying 22 + 7x = 0 Solving 22 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 7x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 0 + -22 7x = 0 + -22 Combine like terms: 0 + -22 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143Solution
x = {0, -3.142857143}
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