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Simplifying 4(x + 1) + -5(2x + -5) = 0 Reorder the terms: 4(1 + x) + -5(2x + -5) = 0 (1 * 4 + x * 4) + -5(2x + -5) = 0 (4 + 4x) + -5(2x + -5) = 0 Reorder the terms: 4 + 4x + -5(-5 + 2x) = 0 4 + 4x + (-5 * -5 + 2x * -5) = 0 4 + 4x + (25 + -10x) = 0 Reorder the terms: 4 + 25 + 4x + -10x = 0 Combine like terms: 4 + 25 = 29 29 + 4x + -10x = 0 Combine like terms: 4x + -10x = -6x 29 + -6x = 0 Solving 29 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = 0 + -29 -6x = 0 + -29 Combine like terms: 0 + -29 = -29 -6x = -29 Divide each side by '-6'. x = 4.833333333 Simplifying x = 4.833333333
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