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Simplifying -7(x + 8) = -2 + -4(-9 + 4x) Reorder the terms: -7(8 + x) = -2 + -4(-9 + 4x) (8 * -7 + x * -7) = -2 + -4(-9 + 4x) (-56 + -7x) = -2 + -4(-9 + 4x) -56 + -7x = -2 + (-9 * -4 + 4x * -4) -56 + -7x = -2 + (36 + -16x) Combine like terms: -2 + 36 = 34 -56 + -7x = 34 + -16x Solving -56 + -7x = 34 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -56 + -7x + 16x = 34 + -16x + 16x Combine like terms: -7x + 16x = 9x -56 + 9x = 34 + -16x + 16x Combine like terms: -16x + 16x = 0 -56 + 9x = 34 + 0 -56 + 9x = 34 Add '56' to each side of the equation. -56 + 56 + 9x = 34 + 56 Combine like terms: -56 + 56 = 0 0 + 9x = 34 + 56 9x = 34 + 56 Combine like terms: 34 + 56 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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