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Simplifying 4(2x + -3) + -5(2x + 8) = 0 Reorder the terms: 4(-3 + 2x) + -5(2x + 8) = 0 (-3 * 4 + 2x * 4) + -5(2x + 8) = 0 (-12 + 8x) + -5(2x + 8) = 0 Reorder the terms: -12 + 8x + -5(8 + 2x) = 0 -12 + 8x + (8 * -5 + 2x * -5) = 0 -12 + 8x + (-40 + -10x) = 0 Reorder the terms: -12 + -40 + 8x + -10x = 0 Combine like terms: -12 + -40 = -52 -52 + 8x + -10x = 0 Combine like terms: 8x + -10x = -2x -52 + -2x = 0 Solving -52 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -2x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -2x = 0 + 52 -2x = 0 + 52 Combine like terms: 0 + 52 = 52 -2x = 52 Divide each side by '-2'. x = -26 Simplifying x = -26
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