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Simplifying 3(4 + 3x) = 8(x + -5) (4 * 3 + 3x * 3) = 8(x + -5) (12 + 9x) = 8(x + -5) Reorder the terms: 12 + 9x = 8(-5 + x) 12 + 9x = (-5 * 8 + x * 8) 12 + 9x = (-40 + 8x) Solving 12 + 9x = -40 + 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. 12 + 9x + -8x = -40 + 8x + -8x Combine like terms: 9x + -8x = 1x 12 + 1x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 1x = -40 + 0 12 + 1x = -40 Add '-12' to each side of the equation. 12 + -12 + 1x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -40 + -12 1x = -40 + -12 Combine like terms: -40 + -12 = -52 1x = -52 Divide each side by '1'. x = -52 Simplifying x = -52
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