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Simplifying 4(x + -5) + -3(2x + 7) = 0 Reorder the terms: 4(-5 + x) + -3(2x + 7) = 0 (-5 * 4 + x * 4) + -3(2x + 7) = 0 (-20 + 4x) + -3(2x + 7) = 0 Reorder the terms: -20 + 4x + -3(7 + 2x) = 0 -20 + 4x + (7 * -3 + 2x * -3) = 0 -20 + 4x + (-21 + -6x) = 0 Reorder the terms: -20 + -21 + 4x + -6x = 0 Combine like terms: -20 + -21 = -41 -41 + 4x + -6x = 0 Combine like terms: 4x + -6x = -2x -41 + -2x = 0 Solving -41 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -2x = 0 + 41 -2x = 0 + 41 Combine like terms: 0 + 41 = 41 -2x = 41 Divide each side by '-2'. x = -20.5 Simplifying x = -20.5
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