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Simplifying 4 + 8(x + -5) = 7 + -4(x + -1) Reorder the terms: 4 + 8(-5 + x) = 7 + -4(x + -1) 4 + (-5 * 8 + x * 8) = 7 + -4(x + -1) 4 + (-40 + 8x) = 7 + -4(x + -1) Combine like terms: 4 + -40 = -36 -36 + 8x = 7 + -4(x + -1) Reorder the terms: -36 + 8x = 7 + -4(-1 + x) -36 + 8x = 7 + (-1 * -4 + x * -4) -36 + 8x = 7 + (4 + -4x) Combine like terms: 7 + 4 = 11 -36 + 8x = 11 + -4x Solving -36 + 8x = 11 + -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. -36 + 8x + 4x = 11 + -4x + 4x Combine like terms: 8x + 4x = 12x -36 + 12x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 12x = 11 + 0 -36 + 12x = 11 Add '36' to each side of the equation. -36 + 36 + 12x = 11 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 11 + 36 12x = 11 + 36 Combine like terms: 11 + 36 = 47 12x = 47 Divide each side by '12'. x = 3.916666667 Simplifying x = 3.916666667
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