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Simplifying 27 + -7(x + -4) + 4(2x + -3) = 0 Reorder the terms: 27 + -7(-4 + x) + 4(2x + -3) = 0 27 + (-4 * -7 + x * -7) + 4(2x + -3) = 0 27 + (28 + -7x) + 4(2x + -3) = 0 Reorder the terms: 27 + 28 + -7x + 4(-3 + 2x) = 0 27 + 28 + -7x + (-3 * 4 + 2x * 4) = 0 27 + 28 + -7x + (-12 + 8x) = 0 Reorder the terms: 27 + 28 + -12 + -7x + 8x = 0 Combine like terms: 27 + 28 = 55 55 + -12 + -7x + 8x = 0 Combine like terms: 55 + -12 = 43 43 + -7x + 8x = 0 Combine like terms: -7x + 8x = 1x 43 + 1x = 0 Solving 43 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 1x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 1x = 0 + -43 1x = 0 + -43 Combine like terms: 0 + -43 = -43 1x = -43 Divide each side by '1'. x = -43 Simplifying x = -43
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