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Simplifying 4(3x + 5x + -6) + -1(4x + -6x + 7) = 0 Reorder the terms: 4(-6 + 3x + 5x) + -1(4x + -6x + 7) = 0 Combine like terms: 3x + 5x = 8x 4(-6 + 8x) + -1(4x + -6x + 7) = 0 (-6 * 4 + 8x * 4) + -1(4x + -6x + 7) = 0 (-24 + 32x) + -1(4x + -6x + 7) = 0 Reorder the terms: -24 + 32x + -1(7 + 4x + -6x) = 0 Combine like terms: 4x + -6x = -2x -24 + 32x + -1(7 + -2x) = 0 -24 + 32x + (7 * -1 + -2x * -1) = 0 -24 + 32x + (-7 + 2x) = 0 Reorder the terms: -24 + -7 + 32x + 2x = 0 Combine like terms: -24 + -7 = -31 -31 + 32x + 2x = 0 Combine like terms: 32x + 2x = 34x -31 + 34x = 0 Solving -31 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 34x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 34x = 0 + 31 34x = 0 + 31 Combine like terms: 0 + 31 = 31 34x = 31 Divide each side by '34'. x = 0.9117647059 Simplifying x = 0.9117647059
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