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Simplifying -1(3x + -12) + 4(6x + 5) = 0 Reorder the terms: -1(-12 + 3x) + 4(6x + 5) = 0 (-12 * -1 + 3x * -1) + 4(6x + 5) = 0 (12 + -3x) + 4(6x + 5) = 0 Reorder the terms: 12 + -3x + 4(5 + 6x) = 0 12 + -3x + (5 * 4 + 6x * 4) = 0 12 + -3x + (20 + 24x) = 0 Reorder the terms: 12 + 20 + -3x + 24x = 0 Combine like terms: 12 + 20 = 32 32 + -3x + 24x = 0 Combine like terms: -3x + 24x = 21x 32 + 21x = 0 Solving 32 + 21x = 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 + 21x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 21x = 0 + -32 21x = 0 + -32 Combine like terms: 0 + -32 = -32 21x = -32 Divide each side by '21'. x = -1.523809524 Simplifying x = -1.523809524
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