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Simplifying 6(x + 6) + -1(5x + 4) = -3 Reorder the terms: 6(6 + x) + -1(5x + 4) = -3 (6 * 6 + x * 6) + -1(5x + 4) = -3 (36 + 6x) + -1(5x + 4) = -3 Reorder the terms: 36 + 6x + -1(4 + 5x) = -3 36 + 6x + (4 * -1 + 5x * -1) = -3 36 + 6x + (-4 + -5x) = -3 Reorder the terms: 36 + -4 + 6x + -5x = -3 Combine like terms: 36 + -4 = 32 32 + 6x + -5x = -3 Combine like terms: 6x + -5x = 1x 32 + 1x = -3 Solving 32 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1x = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -3 + -32 1x = -3 + -32 Combine like terms: -3 + -32 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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