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Simplifying -4(x + 5) = 3(x + -2) Reorder the terms: -4(5 + x) = 3(x + -2) (5 * -4 + x * -4) = 3(x + -2) (-20 + -4x) = 3(x + -2) Reorder the terms: -20 + -4x = 3(-2 + x) -20 + -4x = (-2 * 3 + x * 3) -20 + -4x = (-6 + 3x) Solving -20 + -4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + -4x + -3x = -6 + 3x + -3x Combine like terms: -4x + -3x = -7x -20 + -7x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -7x = -6 + 0 -20 + -7x = -6 Add '20' to each side of the equation. -20 + 20 + -7x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = -6 + 20 -7x = -6 + 20 Combine like terms: -6 + 20 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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