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Simplifying 6(7 + -1x) + 5(3 + 2x) = 0 (7 * 6 + -1x * 6) + 5(3 + 2x) = 0 (42 + -6x) + 5(3 + 2x) = 0 42 + -6x + (3 * 5 + 2x * 5) = 0 42 + -6x + (15 + 10x) = 0 Reorder the terms: 42 + 15 + -6x + 10x = 0 Combine like terms: 42 + 15 = 57 57 + -6x + 10x = 0 Combine like terms: -6x + 10x = 4x 57 + 4x = 0 Solving 57 + 4x = 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 + 4x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 4x = 0 + -57 4x = 0 + -57 Combine like terms: 0 + -57 = -57 4x = -57 Divide each side by '4'. x = -14.25 Simplifying x = -14.25
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