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Simplifying -8x + -3(x + 4) = -5(2x + 8) Reorder the terms: -8x + -3(4 + x) = -5(2x + 8) -8x + (4 * -3 + x * -3) = -5(2x + 8) -8x + (-12 + -3x) = -5(2x + 8) Reorder the terms: -12 + -8x + -3x = -5(2x + 8) Combine like terms: -8x + -3x = -11x -12 + -11x = -5(2x + 8) Reorder the terms: -12 + -11x = -5(8 + 2x) -12 + -11x = (8 * -5 + 2x * -5) -12 + -11x = (-40 + -10x) Solving -12 + -11x = -40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + -11x + 10x = -40 + -10x + 10x Combine like terms: -11x + 10x = -1x -12 + -1x = -40 + -10x + 10x Combine like terms: -10x + 10x = 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 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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