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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 = 51 51 + 6 + 6x + -14x = 0 Combine like terms: 51 + 6 = 57 57 + 6x + -14x = 0 Combine like terms: 6x + -14x = -8x 57 + -8x = 0 Solving 57 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -8x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -8x = 0 + -57 -8x = 0 + -57 Combine like terms: 0 + -57 = -57 -8x = -57 Divide each side by '-8'. x = 7.125 Simplifying x = 7.125
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