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Simplifying 4 + 8(x + -5) = 1 + -8(x + -3) Reorder the terms: 4 + 8(-5 + x) = 1 + -8(x + -3) 4 + (-5 * 8 + x * 8) = 1 + -8(x + -3) 4 + (-40 + 8x) = 1 + -8(x + -3) Combine like terms: 4 + -40 = -36 -36 + 8x = 1 + -8(x + -3) Reorder the terms: -36 + 8x = 1 + -8(-3 + x) -36 + 8x = 1 + (-3 * -8 + x * -8) -36 + 8x = 1 + (24 + -8x) Combine like terms: 1 + 24 = 25 -36 + 8x = 25 + -8x Solving -36 + 8x = 25 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -36 + 8x + 8x = 25 + -8x + 8x Combine like terms: 8x + 8x = 16x -36 + 16x = 25 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 16x = 25 + 0 -36 + 16x = 25 Add '36' to each side of the equation. -36 + 36 + 16x = 25 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = 25 + 36 16x = 25 + 36 Combine like terms: 25 + 36 = 61 16x = 61 Divide each side by '16'. x = 3.8125 Simplifying x = 3.8125
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