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Simplifying 4(x + -5) + -7 + -5(3 + -2x) = 0 Reorder the terms: 4(-5 + x) + -7 + -5(3 + -2x) = 0 (-5 * 4 + x * 4) + -7 + -5(3 + -2x) = 0 (-20 + 4x) + -7 + -5(3 + -2x) = 0 -20 + 4x + -7 + (3 * -5 + -2x * -5) = 0 -20 + 4x + -7 + (-15 + 10x) = 0 Reorder the terms: -20 + -7 + -15 + 4x + 10x = 0 Combine like terms: -20 + -7 = -27 -27 + -15 + 4x + 10x = 0 Combine like terms: -27 + -15 = -42 -42 + 4x + 10x = 0 Combine like terms: 4x + 10x = 14x -42 + 14x = 0 Solving -42 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 0 + 42 14x = 0 + 42 Combine like terms: 0 + 42 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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