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Simplifying -4(x + -8) + 6 = -7(x + 8) Reorder the terms: -4(-8 + x) + 6 = -7(x + 8) (-8 * -4 + x * -4) + 6 = -7(x + 8) (32 + -4x) + 6 = -7(x + 8) Reorder the terms: 32 + 6 + -4x = -7(x + 8) Combine like terms: 32 + 6 = 38 38 + -4x = -7(x + 8) Reorder the terms: 38 + -4x = -7(8 + x) 38 + -4x = (8 * -7 + x * -7) 38 + -4x = (-56 + -7x) Solving 38 + -4x = -56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 38 + -4x + 7x = -56 + -7x + 7x Combine like terms: -4x + 7x = 3x 38 + 3x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 38 + 3x = -56 + 0 38 + 3x = -56 Add '-38' to each side of the equation. 38 + -38 + 3x = -56 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = -56 + -38 3x = -56 + -38 Combine like terms: -56 + -38 = -94 3x = -94 Divide each side by '3'. x = -31.33333333 Simplifying x = -31.33333333
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