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Simplifying -4(x + 5) = 6x + 40 Reorder the terms: -4(5 + x) = 6x + 40 (5 * -4 + x * -4) = 6x + 40 (-20 + -4x) = 6x + 40 Reorder the terms: -20 + -4x = 40 + 6x Solving -20 + -4x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + -4x + -6x = 40 + 6x + -6x Combine like terms: -4x + -6x = -10x -20 + -10x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -10x = 40 + 0 -20 + -10x = 40 Add '20' to each side of the equation. -20 + 20 + -10x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = 40 + 20 -10x = 40 + 20 Combine like terms: 40 + 20 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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