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Simplifying 4(2x + -1) + 3(x + 7) + -6x = 0 Reorder the terms: 4(-1 + 2x) + 3(x + 7) + -6x = 0 (-1 * 4 + 2x * 4) + 3(x + 7) + -6x = 0 (-4 + 8x) + 3(x + 7) + -6x = 0 Reorder the terms: -4 + 8x + 3(7 + x) + -6x = 0 -4 + 8x + (7 * 3 + x * 3) + -6x = 0 -4 + 8x + (21 + 3x) + -6x = 0 Reorder the terms: -4 + 21 + 8x + 3x + -6x = 0 Combine like terms: -4 + 21 = 17 17 + 8x + 3x + -6x = 0 Combine like terms: 8x + 3x = 11x 17 + 11x + -6x = 0 Combine like terms: 11x + -6x = 5x 17 + 5x = 0 Solving 17 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 0 + -17 5x = 0 + -17 Combine like terms: 0 + -17 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4
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