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Simplifying -1(5x + -12) + 4(6x + 5) = 0 Reorder the terms: -1(-12 + 5x) + 4(6x + 5) = 0 (-12 * -1 + 5x * -1) + 4(6x + 5) = 0 (12 + -5x) + 4(6x + 5) = 0 Reorder the terms: 12 + -5x + 4(5 + 6x) = 0 12 + -5x + (5 * 4 + 6x * 4) = 0 12 + -5x + (20 + 24x) = 0 Reorder the terms: 12 + 20 + -5x + 24x = 0 Combine like terms: 12 + 20 = 32 32 + -5x + 24x = 0 Combine like terms: -5x + 24x = 19x 32 + 19x = 0 Solving 32 + 19x = 0 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 + 19x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 19x = 0 + -32 19x = 0 + -32 Combine like terms: 0 + -32 = -32 19x = -32 Divide each side by '19'. x = -1.684210526 Simplifying x = -1.684210526
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