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Simplifying 4 + 8(x + -5) = 1 + -3(x + -1) Reorder the terms: 4 + 8(-5 + x) = 1 + -3(x + -1) 4 + (-5 * 8 + x * 8) = 1 + -3(x + -1) 4 + (-40 + 8x) = 1 + -3(x + -1) Combine like terms: 4 + -40 = -36 -36 + 8x = 1 + -3(x + -1) Reorder the terms: -36 + 8x = 1 + -3(-1 + x) -36 + 8x = 1 + (-1 * -3 + x * -3) -36 + 8x = 1 + (3 + -3x) Combine like terms: 1 + 3 = 4 -36 + 8x = 4 + -3x Solving -36 + 8x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -36 + 8x + 3x = 4 + -3x + 3x Combine like terms: 8x + 3x = 11x -36 + 11x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + 11x = 4 + 0 -36 + 11x = 4 Add '36' to each side of the equation. -36 + 36 + 11x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 4 + 36 11x = 4 + 36 Combine like terms: 4 + 36 = 40 11x = 40 Divide each side by '11'. x = 3.636363636 Simplifying x = 3.636363636
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