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Simplifying 4x + -6(x + 8) + 7(5x + -4) = 0 Reorder the terms: 4x + -6(8 + x) + 7(5x + -4) = 0 4x + (8 * -6 + x * -6) + 7(5x + -4) = 0 4x + (-48 + -6x) + 7(5x + -4) = 0 Reorder the terms: 4x + -48 + -6x + 7(-4 + 5x) = 0 4x + -48 + -6x + (-4 * 7 + 5x * 7) = 0 4x + -48 + -6x + (-28 + 35x) = 0 Reorder the terms: -48 + -28 + 4x + -6x + 35x = 0 Combine like terms: -48 + -28 = -76 -76 + 4x + -6x + 35x = 0 Combine like terms: 4x + -6x = -2x -76 + -2x + 35x = 0 Combine like terms: -2x + 35x = 33x -76 + 33x = 0 Solving -76 + 33x = 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 + 33x = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 33x = 0 + 76 33x = 0 + 76 Combine like terms: 0 + 76 = 76 33x = 76 Divide each side by '33'. x = 2.303030303 Simplifying x = 2.303030303
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