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Simplifying 7(x + -5) + 4 = -4(x + -8) + -11 Reorder the terms: 7(-5 + x) + 4 = -4(x + -8) + -11 (-5 * 7 + x * 7) + 4 = -4(x + -8) + -11 (-35 + 7x) + 4 = -4(x + -8) + -11 Reorder the terms: -35 + 4 + 7x = -4(x + -8) + -11 Combine like terms: -35 + 4 = -31 -31 + 7x = -4(x + -8) + -11 Reorder the terms: -31 + 7x = -4(-8 + x) + -11 -31 + 7x = (-8 * -4 + x * -4) + -11 -31 + 7x = (32 + -4x) + -11 Reorder the terms: -31 + 7x = 32 + -11 + -4x Combine like terms: 32 + -11 = 21 -31 + 7x = 21 + -4x Solving -31 + 7x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -31 + 7x + 4x = 21 + -4x + 4x Combine like terms: 7x + 4x = 11x -31 + 11x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -31 + 11x = 21 + 0 -31 + 11x = 21 Add '31' to each side of the equation. -31 + 31 + 11x = 21 + 31 Combine like terms: -31 + 31 = 0 0 + 11x = 21 + 31 11x = 21 + 31 Combine like terms: 21 + 31 = 52 11x = 52 Divide each side by '11'. x = 4.727272727 Simplifying x = 4.727272727
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