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Simplifying 3(x + 1) = 24 + -1(8x + 40) Reorder the terms: 3(1 + x) = 24 + -1(8x + 40) (1 * 3 + x * 3) = 24 + -1(8x + 40) (3 + 3x) = 24 + -1(8x + 40) Reorder the terms: 3 + 3x = 24 + -1(40 + 8x) 3 + 3x = 24 + (40 * -1 + 8x * -1) 3 + 3x = 24 + (-40 + -8x) Combine like terms: 24 + -40 = -16 3 + 3x = -16 + -8x Solving 3 + 3x = -16 + -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. 3 + 3x + 8x = -16 + -8x + 8x Combine like terms: 3x + 8x = 11x 3 + 11x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 11x = -16 + 0 3 + 11x = -16 Add '-3' to each side of the equation. 3 + -3 + 11x = -16 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = -16 + -3 11x = -16 + -3 Combine like terms: -16 + -3 = -19 11x = -19 Divide each side by '11'. x = -1.727272727 Simplifying x = -1.727272727
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