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Simplifying 2(8 + -4x) + -5(8 + -3x) + -52 = 0 (8 * 2 + -4x * 2) + -5(8 + -3x) + -52 = 0 (16 + -8x) + -5(8 + -3x) + -52 = 0 16 + -8x + (8 * -5 + -3x * -5) + -52 = 0 16 + -8x + (-40 + 15x) + -52 = 0 Reorder the terms: 16 + -40 + -52 + -8x + 15x = 0 Combine like terms: 16 + -40 = -24 -24 + -52 + -8x + 15x = 0 Combine like terms: -24 + -52 = -76 -76 + -8x + 15x = 0 Combine like terms: -8x + 15x = 7x -76 + 7x = 0 Solving -76 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 7x = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 7x = 0 + 76 7x = 0 + 76 Combine like terms: 0 + 76 = 76 7x = 76 Divide each side by '7'. x = 10.85714286 Simplifying x = 10.85714286
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