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Simplifying 4(4 + -1x) + -3(-6 + -7x) = 0 (4 * 4 + -1x * 4) + -3(-6 + -7x) = 0 (16 + -4x) + -3(-6 + -7x) = 0 16 + -4x + (-6 * -3 + -7x * -3) = 0 16 + -4x + (18 + 21x) = 0 Reorder the terms: 16 + 18 + -4x + 21x = 0 Combine like terms: 16 + 18 = 34 34 + -4x + 21x = 0 Combine like terms: -4x + 21x = 17x 34 + 17x = 0 Solving 34 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 17x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 17x = 0 + -34 17x = 0 + -34 Combine like terms: 0 + -34 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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