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Simplifying 4(7x + 5) + -2(3x + -6) = 0 Reorder the terms: 4(5 + 7x) + -2(3x + -6) = 0 (5 * 4 + 7x * 4) + -2(3x + -6) = 0 (20 + 28x) + -2(3x + -6) = 0 Reorder the terms: 20 + 28x + -2(-6 + 3x) = 0 20 + 28x + (-6 * -2 + 3x * -2) = 0 20 + 28x + (12 + -6x) = 0 Reorder the terms: 20 + 12 + 28x + -6x = 0 Combine like terms: 20 + 12 = 32 32 + 28x + -6x = 0 Combine like terms: 28x + -6x = 22x 32 + 22x = 0 Solving 32 + 22x = 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 + 22x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 22x = 0 + -32 22x = 0 + -32 Combine like terms: 0 + -32 = -32 22x = -32 Divide each side by '22'. x = -1.454545455 Simplifying x = -1.454545455
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