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Simplifying 4(x + 2) + -1(2x + -7) = 0 Reorder the terms: 4(2 + x) + -1(2x + -7) = 0 (2 * 4 + x * 4) + -1(2x + -7) = 0 (8 + 4x) + -1(2x + -7) = 0 Reorder the terms: 8 + 4x + -1(-7 + 2x) = 0 8 + 4x + (-7 * -1 + 2x * -1) = 0 8 + 4x + (7 + -2x) = 0 Reorder the terms: 8 + 7 + 4x + -2x = 0 Combine like terms: 8 + 7 = 15 15 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 15 + 2x = 0 Solving 15 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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