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Simplifying x + -4 + -5(x + -3) + 3(4x + 1) = 0 Reorder the terms: x + -4 + -5(-3 + x) + 3(4x + 1) = 0 x + -4 + (-3 * -5 + x * -5) + 3(4x + 1) = 0 x + -4 + (15 + -5x) + 3(4x + 1) = 0 Reorder the terms: x + -4 + 15 + -5x + 3(1 + 4x) = 0 x + -4 + 15 + -5x + (1 * 3 + 4x * 3) = 0 x + -4 + 15 + -5x + (3 + 12x) = 0 Reorder the terms: -4 + 15 + 3 + x + -5x + 12x = 0 Combine like terms: -4 + 15 = 11 11 + 3 + x + -5x + 12x = 0 Combine like terms: 11 + 3 = 14 14 + x + -5x + 12x = 0 Combine like terms: x + -5x = -4x 14 + -4x + 12x = 0 Combine like terms: -4x + 12x = 8x 14 + 8x = 0 Solving 14 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 0 + -14 8x = 0 + -14 Combine like terms: 0 + -14 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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