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Simplifying 6(x + -5) + 7(3 + -2x) + 6 = 0 Reorder the terms: 6(-5 + x) + 7(3 + -2x) + 6 = 0 (-5 * 6 + x * 6) + 7(3 + -2x) + 6 = 0 (-30 + 6x) + 7(3 + -2x) + 6 = 0 -30 + 6x + (3 * 7 + -2x * 7) + 6 = 0 -30 + 6x + (21 + -14x) + 6 = 0 Reorder the terms: -30 + 21 + 6 + 6x + -14x = 0 Combine like terms: -30 + 21 = -9 -9 + 6 + 6x + -14x = 0 Combine like terms: -9 + 6 = -3 -3 + 6x + -14x = 0 Combine like terms: 6x + -14x = -8x -3 + -8x = 0 Solving -3 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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