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Simplifying 0.5(5 + -7x) * 8 + -1(4x + 6) = 0 Reorder the terms for easier multiplication: 0.5 * 8(5 + -7x) + -1(4x + 6) = 0 Multiply 0.5 * 8 4(5 + -7x) + -1(4x + 6) = 0 (5 * 4 + -7x * 4) + -1(4x + 6) = 0 (20 + -28x) + -1(4x + 6) = 0 Reorder the terms: 20 + -28x + -1(6 + 4x) = 0 20 + -28x + (6 * -1 + 4x * -1) = 0 20 + -28x + (-6 + -4x) = 0 Reorder the terms: 20 + -6 + -28x + -4x = 0 Combine like terms: 20 + -6 = 14 14 + -28x + -4x = 0 Combine like terms: -28x + -4x = -32x 14 + -32x = 0 Solving 14 + -32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -32x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -32x = 0 + -14 -32x = 0 + -14 Combine like terms: 0 + -14 = -14 -32x = -14 Divide each side by '-32'. x = 0.4375 Simplifying x = 0.4375
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