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Simplifying 3 + 5(x + -8) = -3(1 + 4x) Reorder the terms: 3 + 5(-8 + x) = -3(1 + 4x) 3 + (-8 * 5 + x * 5) = -3(1 + 4x) 3 + (-40 + 5x) = -3(1 + 4x) Combine like terms: 3 + -40 = -37 -37 + 5x = -3(1 + 4x) -37 + 5x = (1 * -3 + 4x * -3) -37 + 5x = (-3 + -12x) Solving -37 + 5x = -3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -37 + 5x + 12x = -3 + -12x + 12x Combine like terms: 5x + 12x = 17x -37 + 17x = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 -37 + 17x = -3 + 0 -37 + 17x = -3 Add '37' to each side of the equation. -37 + 37 + 17x = -3 + 37 Combine like terms: -37 + 37 = 0 0 + 17x = -3 + 37 17x = -3 + 37 Combine like terms: -3 + 37 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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